Q 4.3. A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the number of 1s. 1. Compute the distribution of Y. 2. For a fixed k ≥ 1, find the distribution of X given Y = k. 3. Compute E(X) and Var(X).

Q: 3.69. Given the values of the joint probability distribu- tion of X and Y shown in the table -1 yo 1…

A: x=-1 x=1 Total y=-1 18 12 58 y=0 0 14 14 y=1 18 0 18 Total 14 34 1

Q: Random variable X has a normal distribution N(-1, 1). Determine the value of a for which P(X -a -…

A: Given that,X

Q: Which word(s) best describe the distribution of X?

A: Given that X be the number of heads in 100 flips then X can take values {0,1,2,3,.....,99,100}

Q: (a) Find P(X s 4, Y = 2). P(Xs 4,Y = 2) =| (Simplify your answer.) (b) Find P(X > 4, Y s 3). P(X >…

A: The given probability distribution can be described as X         Y 2 3 4 2 4/78 5/78 6/78 3…

Q: #2a. Consider a t distribution with 10 degrees of freedom. Compute P(t < -1.74). Round your answer…

A: Degree of freedom =df =10

Q: For a t distribution with 16 degrees of freedom, find the area, or probability, in each a. To the…

A: Degree of freedom =df =16 NOTE:- According to bartleby guidelines expert can solve maximum three…

Q: Let N be the number of insurance claims per year, and N is following a Poisson distribution, with a…

A: Given that:The number of insurance claims per year is . follows a Poisson distribution with rate To…

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: Let X1, X2, ..., Xn be a random sample from a distribution that has pdff(x,0) = e² x e-8 is an…

A: Given pdf is, fx,θ=θ2e-θx, x≥0 Consider, the likelihood function, L=∏i=1nfx,θ  =∏i=1nθ2e-θx…

Q: chanollevisado pril 19. Draw frequency distributions that have (a) positive skewness, (b) negative…

A: 19 a) If the data has a large number of observations with higher values compared to that of the…

Q: road averages 2,115 vehicles per day with a standard deviation of 485 vehicles per day. A traffic…

A:

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: For a normally distributed population with μ = 90 and o=40, find P(x ≥200). a. 0.003 O a. O b.…

A: Answer  Mean = 90 Standard deviation =40 Use the normal distribution, N~[90,40].

Q: 82. The time (in minutes) until the next bus departs a major bus depot follows a distribution with…

A:

Q: =0. Let X have a Standard Normal Distribution. Find P(- 1.12 < X < 0.46). . 0.5459 В. 0.5659 C.…

A: Let Z be the standard normally distributed random variable with mean 0 and standard deviation 1.

Q: 12. We often represent the cumulative distribution F(x) with a graph. The x-axis should be the…

A: using the given data, we need to plot the cumulative distribution function.

Q: For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a.…

A: The t table provides the area to the right of the t values corresponding to the degrees of…

Q: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/45…

A: a. The time that it takes for the next train to come follows a Uniform distribution with fx=145…