*3. Let Z ~ N(0,1) and W x2 be independent. Find the distribution of: T =

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A:

Q: Assume that X has the distribution N (10, 4), find:   P (Z > - 3)     P (11.36 < X < 16)

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 4 X~N (10, 4)

Q: distribution is given as X ~ U(0, 12). Find P(x > 3)

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Q: Q. 64 Give the formula for finding the deciles of a continuous distribution.

A: Solution-: We want find what is formula for finding the deciles of a continuous distribution.

Q: The joint distribution of X and Y is given by: 3x2-2y f(x,y) = k For x = -1,0,1 and y = -1,0. Then k…

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Q: Suppose that the F stat follows an F distribution with df , =5 and df =4, what is %3D the boundary…

A: F-distribution is continuous distribution which is skewed to right. The F-distribution is defined by…

Q: A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the number of…

A: A fair die is rolled until a 6 is obtained.Y be the total number of rolls and X the number of 1s.

Q: The amount of time a service technician needs to change all four tires on a car is uniformly…

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Q: Let. X have a uniform distribution on the interval (1,3). What is the proba- bility that the sum of…

A: Uniform distribution is widely used in statistics . It is very useful in modern times .

Q: 2. Let T have an t-distribution with degree of freedom (d.f.) = r. Then T2 has an F-distribution…

A: Solution-: Let T have an t-distribution with df=r . Then T2 has an F-distribution with numerator…

Q: Let (Y₁,..., YK) be multinomially distributed with parameters n and p₁,..., PK. Let ₁,...,UK E No…

A: Y,Y2,...,YK is multinomially distributed with parameters n and p1,p2,...,pK. y1,...,yK∈ℕ0 with…

Q: The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 59…

A: b) Given that the class is exactly 51 minutes long. So, x=51, it is a particular point between 46…

Q: Show all work

A:

Q: Anya has three identical tea cups. She randomly stores each cup in one of three cupboards, where…

A: From the given information, Anya has 3 identical tea cups. She randomly stores each cup in one of…

Q: Use the t-distribution to find P(-2.28 < t < 1.26). let n=22.

A: From the given information,   The number of sample observations is n=22. The degree of freedom is, n…

Q: The independent RVs X and Y have distributions N(45, 2) and N(44, 1.5) respec. tively. What is the…

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Q: x has the uniform distribution [0,1] put y=2x + 5 then y has the uniform distribution on the…

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Q: O Suppose that you enter a fantasy basketball league. Suppose that the 2022 team budget, say X, is…

A: The following solution is provided below:

Q: Consider a t-distribution with 3 degrees of freedom. Find P(– 0.89 < t < 2.83)-

A: It is given that the degrees of freedom is 3.

Q: F (x) = c du for x e R. For what value of c is F a distribution function?

A: It is an important part of statistics. It is widely used.

Q: Suppose that you enter a fantasy basketball league. Suppose that the 2022 team budget, say X, is…

A: The pdf of a uniform distribution on [a, b], when a and b are the minimum and maximum values,…

Q: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5…

A:

Q: Verify that if T has a t distribution with v degrees of freedom, then X = T2 has an F distribution…

A: It is given that T has a distribution with v degrees of freedom.

Q: The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5…

A: Given that, Let X is the length of a professor’s classes has a continuous uniform distribution…

Q: 9. Let X be a three dimensional normal with mean and covariance -(0) fl= 2 1 1 3 -1 2 == (1 Σ Set Y₁…

A: Given  Y1=X1+X2+X3  Y2=X1+X3