Suppose that x has a hypergeometric distribution with N = 300, n = 30, and K=100. 1. Find p(x=10) by using the hypergeometric distribution.  2. Find p(x=10) by using the approximate binomial distribution.  3. Is the binomial approximation reasonable?

Q: Suppose that X has a hypergeometric distribution with N = 500, n = 50, and K = 100. Find P(X = 10)…

A: Hypergeometric Distribution: N: Number of items in the population K: Number of items in the…

Q: Let X have an exponential distribution with parameter > 0. Find p P[k < X < k +1] = p(1 − p)k . such…

A:

Q: Suppose that 2 balls are randomly selected from an urn containing 3 red, 4 blue, and 5 white balls.…

A: Given: 3 red, 4 blue, and 5 white balls X= number of red balls Y= number of white balls n = 2

Q: Suppose the pdf of the random variable X is given by e-¤ for x > 0 f(x) = {0 for x < 0. Compute the…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the…

A: Given,  X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. We have to find…

Q: Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A:

Q: In designing an electrical circuit, a probability density function is needed to b integrated to…

A:

Q: Assuming o is known, find a method of moments estimator of µ. Assuming u is d a method of moments…

A:

Q: 6.46 Suppose that Y has a gamma distribution with a = n/2 for some positive integer n and ß equal to…

A:

Q: Let X has uniform distribution on [-1,1]. Find E(X|X²).

A: Given: X has uniform distribution on [-1,1]. Then the pdf is: f (x)=12for -1&lt;X&lt;10Otherwise

Q: Solve for P(X=0, Y=0).

A: Suppose that 2 balls are randomly selected from an urn containing 3 red, 4 blue, and 5 white balls.…

Q: Suppose that X has a hypergeometric distribution with N = 1200, k = 800 and n=300. Find the…

A: Solution

Q: Suppose X has a Poisson distribution with parameter A and suppose the conditional distribution of Y…

A:

Q: The negative binomial rv X was defined as the number of F's preceding the rth S. Let Y= the number…

A: Negative Binomial Distribution: If we have a sequence of trials each having two outcomes, say…

Q: Exercise 5.5 Suppose that X has a hypergeometric distribution with N= 500, n= 50, and K = 100. Find…

A: Solution is given below

Q: Exercise 5.5 SuPpose that X has a hypergeometric distribution with N= 500, n= 50, and K = 100. Find…

A:

Q: Suppose that the random variable X has the following df. F(x) = {0 for x≤0, 1-ex for x>0 Determine…

A: The given dF is : F(x)=0for x≤01-exfor x&gt;0 We want to find quantile function.

Q: Exercise 5.5 Suppose that X has a hypergeometric distribution with N = 500, n= 50, and K = 100. Find…

A: Hypergeometric Distribution: N: Number of items in the population K: Number of items in the…

Q: Q: The probability that a man aged 50 years will not die within a year is 0.05. What is the…

A: Given that, n=20, p(alive)=p=0.05 &amp;  p(die)=1-p(alive)=q=0.95.

Q: Suppose X is binomially distributed with parameters n and p; further suppose that E(X) = 5 and…

A: Given that,X is binomially distributed with parameters n and p E(X) = 5  Var(X) = 4.Find n and p

Q: A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor…

A:

Q: The rule of thumb for using the normal approximation to the binomial is that both np and n(1 − p)…

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial…

Q: Ex 2: Suppose that Xhas a hypergeometric distribution with N=100, n = 4 and K = 20 Determine the…

A: Given that X has a hypergeometric distribution. N = 100, n = 4 and K = 20

Q: Exercise 5.5 Suppose that X has a hypergeometric distribution with N = 500, n= 50, and K = 100. Find…

A: GivenN=500n=50K=100 x~Hypergeometric(N=500,n=50,k=100)P(X=x)=(kx)(N-kn-x)(Nn)  ; x=0,1,...,n

Q: Exercise 5.5 Suppose that X has a hypergeometric distribution with N=500, n= 50, and K = 100. Find…

A: Let X be a random variable then the formula of hyper geometric distribution is; P(X=k)=KkN-Kn-kNn…

Q: Suppost you had a PDF wherein fx(x)=xe^x for 0<x<1, and 0 otherwise. How do you dint the Moment…

A: Moment generating function is the expectation of function of the random variable. Expected value is…

Q: Suppose that x has a hypergeometric distribution with N=2000, k=800, and n=200. Find the probability…

A: We have to find that the normal approximation reasonable?

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A:

Q: 2. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A: X has a hypergeometric distribution N=2000 K=800 n=200 P(X&lt;=70)=? For hypergeometric and normal…

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and n= 200. Find the…

A: Hyper geometric distribution : The hypergeometric distribution may be a separate likelihood…

Q: An amateur statistics practitioner proudly shows you the graph above (Fig. 1) and insists that it is…

A: c) From that part a, the value of K is 1/8. From the given graph, the probability density of X is,…

Q: Solve for P(X=2).

A: here 2 balls are randomly selected from urn urn contains  3 red, 4 blue, and 5 white balls. If we…

Q: Exercise 5.5 Suppose that X has a hypergeometric distribution with N= 500, n = 50, and K = 100. Find…

A: We have to use hypergeometric distribution and binomial approximation of hypergeometric distribution…

Q: Q1/ If X~Binomial(n, p) and let n~poisson(m). 1- find compound Binomial distribution 2 - find the m.…

A: Given      X~Binomial n, p    and        n~Poissonm

Q: Let X have a gamma distribution with α > 1. Show that E [1/X] = 1/[θ*(α −1)]

A: X~ Gamma(α, θ) Pdf of gamma distribution, f(x)= θαx(α-1)e-θx/Γ(α) ,  0&lt;x&lt;infinite   E(1/X)=…

Q: from a population given by 1 for x> 8 g(x; 0,8) = elsewhere ind estimators for 8 and 0 by the method…

A: Solution

Q: Let X have a gamma distribution (a, ß)and Let Y = ex.Find G(y)and g(y) by D F method %3D

A: From the given information, X be a gamma distribution α,β. The pdf for X is, f(x)=βαΓ(α)xα-1e-βx The…

Q: Let X, have a gamma distribution with parameters n/2 and 2 (X, – n)/ /n converges in distribution to…

A:

Q: Let X, have a gamma distribution with parameters n/2 and 2 , and let Y, = log X, .Answer the…

A:

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K= 800, and n= 200. Find the…

A:

Q: Exercise 5.5 Suppose that X has a hypergeometric distribution with N = 500, n = 50, and K = 100.…

A: GivenN=500n=50K=100x~Hypergeometric(N=500,n=50,K=100)P(X=x)=(Kx)(N-Kn-x)(Nn) ; x=0,1,...,n

Q: Let X be Binomial(n = 20, p = 0.50, size = 1000) distributed. Use Chebyshev's inequality to estimate…

A: The Chebyshev's inequality states, if X is a random variable with mean and variance μ and σ2…

Q: Can the Normal approximation to the binomial be used when n=20 and p=0.8?

A:

Q: X is nomally distributed with parameters u and o = 20 and that, for a 76. How large of a sample…

A: Given: α≤0.025β≤0.025σ=20μ0=76μ1=82

Q: 1. Use Simpson's rule with four intervals to approximate the value of S e**dx .

A: As per honor code, we will answer first question for you. Please submit the other as a separate…

Q: The special case of the gamma distribution in which a is a positive integer n is called an Erlang…

A: From the given information, The gamma distribution pdf is, fx,α,β=1βαΓαxα-1e-xβ, x≥0   The Erlang…

Q: EX'5 PlGo For general n, we have n!f(x1)f(x2) -- f(In) %3D .... which holds for 1 < x2< < In with…

A: For general n, we have to prove that: fX(1),X(2),.....X(n)(x1,x2,....xn) =n!f(x1)f(x2).....f(xn)…

Q: Exercise 5.5 Suppose that X has a hypergeometric distribution with N = 500, n = 50, and K = 100.…

A: As given above: N=500n=50k=100x=10 Formula for hypergeometric distribution is: hx; N, n,…

Q: Find the mean and standard deviation of S = , X %3D =D1 Confirm that S Poisson(13) Compute P(S = 0).

A: Given that X1 ~ Poisson(2), X2 ~ Poisson(5), X3 ~ Poisson(4), and X4 ~ Poisson(2)

Q: Suppose that x has a hypergeometric distribution with N = 300, n = 30, and K=100 a. Find p(x=10) by…

A: (a)   Obtain the probability that X equals 10 by using the hypergeometric distribution.   The…