Suppose T(4) follows an Erlang distribution with n = 4 and lambda = 0.4 Compute each of the following: The expected value of T^(4) equais The standard error of T^(4) equa P(T^(4) < 20) = _______ (Give the probability rounded to four decimal places.
Answers
The probability that T^4 is less than 20 is practically zero.
The Erlang distribution with n = 4 and lambda = 0.4 has mean E(T) = n/lambda = 10 and variance Var(T) = n/lambda^2 = 25. The fourth moment of T is given by
\(E(T^4) = Var(T)^2 + 4E(T^3)Var(T) + 6E(T^2)Var(T)^2 + E(T)^4.\)
To find E(T^4), we need to compute E(T^3) and E(T^2). The third moment of T is given by
\(E(T^3) = 3Var(T)E(T) + E(T)^3 = 750\), and the second moment of T is given by
\(E(T^2) = Var(T) + E(T)^2\)
= 125.
Thus, \(E(T^4) = Var(T)^2 + 4E(T^3)Var(T) + 6E(T^2)Var(T)^2 + E(T)^4\)
= 393750.
To find P(T^4 < 20), we need to standardize T^4 using the mean and standard error of T^4.
Let Z = (T^4 - E(T^4))/SE(T^4) be the standard normal variable.
Then, P\((T^4 < 20) = P(Z < (20 - E(T^4))/SE(T^4))\)
= P(Z < -52.0772)
= 0 (rounded to four decimal places).
Therefore, the probability that T^4 is less than 20 is practically zero.
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Related Questions
PLEASE HELP!!! THIS IS 25 POINTS!! ILL MARK BRAINLIEST PLEASE HELP!
Answers
12 percent of 9 or 9 percent of 12 should get the same answer
Answers
What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 xy, equals, start fraction, 5, divided by, 9, end fraction, x? constant of proportionality ==equals
Answers
Answer:
5/9
Step-by-step explanation:
If a variable y is directly proportional to x, then;
y = kx where;
k is the constant of proportionality
Given the expression y = 5/9 x
On comparing with the general formula;
kx = 5/9 x
k = 5/9
Hence the constant of proportionality of the expression is 5/9
Answer:
5/9
Step-by-step explanation:
i tried it on khan and its right trust me
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1925. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per hour?
Answers
Answer:
g
Step-by-step explanation:
an unnormalized relation is a table that has more than one row.
Answers
An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.
Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.
In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.
To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.
In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.
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Solve the equation 8x + 7 = 6x + 15. What is the value of x?
Answers
to show your work:
8x + 7 = 6x + 15
- 7 - 7
8x = 6x + 8
-6x -6x
2x=8
divid by 2 and it’s x = 4 :)
Exercises 1. Polygon ABCD has vertices A(2,4), B(-1,5), C(-3,-5), and D(3,-4). Find the coordinates of its image after a dilation with a scale factor of. Then graph polygon ABCD and its dilation. 2
Answers
Answer:
Ok Sorry but please tell me how r u seeing my comments so fast?
Step-by-step explanation:
The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base are tilted. What is the volume of the prism?
A) 216 cm3
B) 288 cm3
C) 534 cm3
D) 648 cm3
E) 864 cm3
Answers
The correct answer is d. the volume of the prism is 648 cm³
We know that The volume of the prism is equal to
V = B * h
where
B is the area of the base
h is the height
in this problem
area of the base B is the area of a rectangle
B = 12 * 9
= 108 cm²
h is the distance perpendicular to the base
h = 6 cm
To the volume of the prism we will put the values in formula
V = 108 * 9
= 648 cm³
therefore, the correct answer is d the volume of the prism is 648 cm³
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Complete question is below
The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base are tilted. What is the volume of the prism?
A) 216 cm³
B) 288 cm³
C) 534 cm³
D) 648 cm³
E) 864 cm³
Write the ratio in simplest form.
28 elementary schools to 10 middle schools.
Answers
I hope this will help you
Answer:14/5
Step-by-step explanation:28/10
Divide through by 2
Suppose you select a number at random from the sample space 5,6,7,8,9,10,11,12,13,14 . Find each probability. P (integer)
Answers
Answer:
1/10
Step-by-step explanation:
If each number has an equal outcome(and there are 10 numbers), 100%/10 would equal 10%(or 1/10, or 0.1%) It is completely random though, if you got a 6 you could pull a 6 again. (I think this is correct I'm so sorry if it isn't) If you pulled two of the same numbers in a row you would do 1/10*1/10. That would equal 1/20, which is a 0.05%
The rest says• Determine the number that each letter in the model represents and explain each of your answers.• Write the quotient and the remainder for .• Explain how to use multiplication to check that the quotient is correct. You may show your work in your explanation.Enter your answers and explanation in the box provided.
Answers
To find the quotient and remainder ,using area model, when , 6,986 is divided by 8, we will use rectangles of different dimensions or a single rectangle in this process.
As, width of rectangle will be same that is equal to 8, and length will vary as how many rectangles you are drawing.
• One way is :
6986 ÷ 8= 873 = Quotient, and 2 = Remainder
So, we can draw a rectangle , having length = 873 unit and width = 8 unit. And Remainder = 2 unit, which will be represented by two smaller rectangles.
• There are other ways also:
You can draw many rectangles , having different lengths and width of each rectangle being equal to 8.
For example:
6986 = 4000+ 2986
So, length of one rectangle = 4000 ÷ 8 = 500 unit and width = 8 unit
Length of another rectangle =2986÷8 = 373 unit and width = 8 unit
Quotient = 500 + 373 = 873
Remainder = 2 ,which will be represented by two smaller rectangles.
Now, using Divisibility rule , which states that, dividend = divisor × quotient + remainder
6986 = 873 × 8 +2
As, quotient = 873
remainder =2
The blood plateiet counts of a group of women have a bell-shaped distribution with a mean of 250.6 and a standard deviation of 62.3. (All units are 1000 cells/uL.) Using the empilical rule, find each approximale percentage below. a. What is the approximate percentige of women with platelet counts within 1 standard deviation of the mean, or befween 188.3 and 312.9 ? b. What is the approximate percentage of women with platelet cotants between 126.0 and 375.2? a. Approximatey ___% of women in this group have plaselot counts within 1 standard deviation of the moan, or botween 108.3 and 3129 . (Type an integor of a decimal. Do nod round.) b. Approximately ___% of women in this group have platelet counts betwoen 126.0 and 375.2. (Type an integear of a decimal, Do not round)
Answers
The given bell-shaped distribution has a mean of 250.6 and a standard deviation of 62.3. (All units are 1000 cells/uL.)Using the empirical rule, the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 188.3 and 312.9 are 68%.
The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 188.3 and 312.9 are 68%.Explanation:To calculate the percentage of women with platelet counts within 1 standard deviation of the mean, we will use the empirical rule. This rule is based on the normal distribution of data, according to which 68% of data falls within one standard deviation from the mean.The given bell-shaped distribution has a mean of 250.6 and a standard deviation of 62.3.
Therefore, 1 standard deviation from the mean can be calculated as follows:Lower limit = mean - standard deviation = 250.6 - 62.3 = 188.3Upper limit = mean + standard deviation = 250.6 + 62.3 = 312.9Thus, approximately 68% of women in this group have platelet counts within 1 standard deviation of the mean, or between 188.3 and 312.9 .b. The approximate percentage of women with platelet counts between 126.0 and 375.2 are 95%.Explanation:To calculate the percentage of women with platelet counts between 126.0 and 375.2, we will use the empirical rule. This rule is based on the normal distribution of data, according to which:68% of data falls within one standard deviation from the mean.95% of data falls within two standard deviations from the mean.99.7% of data falls within three standard deviations from the mean.
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i really need help
pls i thank anyone and mark brainlest
Answers
Answer:
25h + 12
Explanation:
21h -10h + 14h + 16 -9 +5 ( group term )
25h + 12 ( simplified )
Answer:
\(25h+12\)
Step-by-step explanation:
To do this, we need to combine like terms:
\(21h-10h+14h+16-9+5\)
Combine terms that have "h" with each other.
\(11h+14h+16-9+5\)
\(25h+16-9+5\)
Now, combine the rest of the terms that don't have "h".
\(25h+7+5\)
\(25h+12\)
15. ___________ is a statistic that refers to the proportion of observed variance in a group of individuals that can be accounted for by genetic variance
Answers
Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.
Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.
To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.
It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.
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For f(x) = −7x − 13, find f(x) when x = −1.
Answers
Answer:
-6
Step-by-step explanation:
-7 x -1 = 7
7 - 13 = -6
Please help
12. Ron is making a triangular frame for a garden using three lengths of wood. He has three pieces of wood that measure 3 feet, 8 feet, and 4 feet in length. Ron claims that he can make a triangular frame with these three pieces of wood. Do you agree with Ron? Explain your reasoning
Answers
Answer:
Step-by-step explanation:
A side of the triangle must be shorter than the sum of the remaining two sides.
He cannot make a triangle with 3, 4, and 8.
Which pair of expressions below are equivalent?
O 3q + 7q and 10q
O 3(79) and 10q
Oq+r+rand 3qr
3q + 7q and 10q?
Answers
Answer:
iit's the 3q+ 7q =10q one
Answer:
O 3q + 7q and 10q
3q + 7q and 10q?
 Jamila earns $14,$11,$20,$15,$20 from babysitting 7 times. Find the interquartile range or IQR
Answers
Answer:
I have not done this math in a while but I think it is -8
Step-by-step explanation:
Given sinx=2/3 find cosx
Answers
Answer:
\(\cos\theta=\frac{\sqrt{5}}{3}\)
Step-by-step explanation:
\(\sin\theta=\frac{2}{3}\\ \\\cos\theta=\frac{\sqrt{3^2-2^2}}{3}=\frac{\sqrt{9-4}}{3}=\frac{\sqrt{5}}{3}\)
Construct a right triangle with hypotenuse 3 and opposite side 2. The adjacent side used for cosine can easily be calculated using the Pythagorean Theorem.
Rene used 3/8 of her pocket money to buy some blouses and used 3/5 of the remainder to buy 2 pairs of jeans. if a pair of costs 3 times as much as a blouse., find the number of blouses Rene bought.
Answers
Answer:
6
Step-by-step explanation:
Let x = amount of her pocket money.
Let b = price of 1 blouse.
Let j = price of 1 pair of jeans.
j = 3b
3/8 x was used for blouses
5/8 x was left after the blouses
3/5 of 5/8 x was used for 2 pairs of jeans
3/8 x was used for 2 pairs of jeans
1 pair of jeans costs 3/16 x
3 blouses cost 3/16 x
1 blouse costs 1/16 x
3/8 x was used for blouses
1 blouse costs 1/16 x
(3/8) / (1/16) = 3/8 × 16/1 = 6
Answer: 6
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Answers
Answer:
8
Step-by-step explanation:
exact
127/9-5.89
14.11-5.89
8.22
estimating
14 1/9 is close to 14
5.89 is close to 6
14-6 is 8
Answer:
the answer is 8
Step-by-step explanation:
hope i help
Determine whether the following equation defines y as a function of x. x-5 = y^2 Does the equation x - 5 = y^2 define y as a function of x? Yes No
Answers
The given equation "x - 5 = y^2 " does not define y as a function of x. This is because for each value of x, there are two possible values of y. Hence, the answer to this question is No.
For example, if x = 9, then y can be either 2 or -2. This violates the definition of a function, which states that for each input there should be exactly one output. Therefore, it is determined that the equation "x - 5 = y^2" does not define y as a function of x because for each value of x, there exist two possible values of y.
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15. If 3x + 5y = 11 and xy = 2, find the value of: 9x2 + 25y2
Answers
The problem provides the information:
3 x + 5 y = 11
and x y = 2
Asking to find the value of 9 x^2 + 25 y^2
so we proceed to recall what the square of a binimial of the following form is:
\((3x+5y)^2=(3x)^2+2(3x\cdot5y)+(5y)^2=9x^2+30xy+25y^2_{}\)So, we see that the square of the quantity: (3 x + 5 y) which from the information given equals 11^2 = 121, must equal the expression:
9 x^2 + 25 y^2 + 30 x y.
then we write the following equation making both parts equal:
\(\begin{gathered} 11^2=9x^2+25y^2+30xy \\ 121=9x^2+25y^2+30xy \\ 121=9x^2+25y^2+30(2) \\ 121-60=9x^2+25y^2 \\ 61=9x^2+25y^2 \end{gathered}\)Therefore the value of 9 x^2 + 25 y^2 = 61
Find the function which is parallel to y = 2x + 9.
5x-2y=8
O 7x+2y = 14
4y - 8x = 24
All of the choices
Answers
Answer:
4y - 8x = 24
Step-by-step explanation:
4y -8x = 24 Add 8x to both sides
4y = 8x + 24 Divide both sides by 4
y = 2x + 6
This slope is 2 which would great a line parallel to y = 2x + 9
Desmos is a free program that can help you graph. See the picture below. You just type in the equation and it graphs it for you. Cool
Solve each equation by completing the square. Write the answers as equations.
4. x2-2x-48=0 5. r2+8r+12=0
Answers
Answer:
the answer is
x-2=48
r-8= -12
A local city park rents kayaks for $4.25 per hour. If a customer rents for four or more hours, the cost is only $3.75 per hour, plus the customer gets an additional $2 off the total fees. If C(x) represents the total cost and x represents the number of rental hours, which of the following functions best models this scenario?
c of x equals 4.25 times x if x is less than 3 and 3.75x minus 2 if x is greater than or equal to 4
c of x equals 4.25 times x if x is less than 4 and 3.75x minus 2 if x is greater than or equal to 4.
c of x equals 4.25 times x if x is less than 4 and 3.75 plus 2x if x is greater than 4.
c of x equals 4.25 times x if x is less than or equal to 3 and 3.75x minus 2 if x is greater than 4.
Answers
The functions best model this scenario are:
For x < 4, C(x) = 4.25x.
For x ≥ 4, C(x) = 3.75x - 2.
Where x is the number of rental hours.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
Cost of rent kayaks per hour = $4.25
If a customer rents for four or more hours.
The cost per hour = $3.75
And,
Discount = $2 off.
Now,
C(x) = the total cost and x represents the number of rental hours.
We can make an equation as:
For x < 4,
C(x) = 4.25x
For x ≥ 4
C(x) = 3.75x - 2
Thus,
For x < 4, C(x) = 4.25x.
For x ≥ 4, C(x) = 3.75x - 2.
Where x is the number of rental hours.
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HELP ASAP HELP ASAP HELP ASAP
Answers
Answer:
i think its D
Step-by-step explanation:
find how many kilometers they traveled by bike if they traveled 275 kilometers in total and they biked 55 more than they were bussed
Answers
Answer:
165 bike
110 bus
Step-by-step explanation:
Find the value of x. Then find the measure of each labeled angle.
Answers
Answer:
x = 19.5
4x + 12 = 90 degrees
Step-by-step explanation:
We know it is a right angle, meaning 90 degrees.
4x + 12 = 90
4x = 78
x = 19.5
Answer:
x = 19.54x+12 = 90Step-by-step explanation:
You want to know the measure of the angle marked (4x+12)° at the transversal crossing parallel lines at right angles.
Right angleThe □ symbol on the diagram indicates the lines cross at right angles. The measure of a right angle is 90°. This means all of the angles where the transversal crosses the parallel lines have measures of 90°, including the one marked (4x+12)°.
We can solve for x using this relationship:
4x +12 = 90 . . . . . . . . . answer to the second part
x +3 = 22.5 . . . . . . . divide by 4
x = 19.5 . . . . . . . . subtract 3 . . . answer to the first part
helpppp like rn cus i don’t get ts
Answers
Step-by-step explanation:
The ratio of child tickets to adult tickets is 8 : 1.
It means for each adult ticket the number of child tickets is 8 times more.
On Saturday they sold 147 adult tickets, so the number of child tickets is:
8*147 = 1176The ratio adult : child, as per picture:
1/8 = 147/x ⇒ x = 147*8 = 1176Total tickets sold, add up child and adult ticket numbers:
1176 + 147 = 1323Ratio is 8:1
Total adult tickets=147
Total child tickets
147(8)1176Total tickets
1176+1471323