Suppose X is binomially distributed with parameters n and p; further suppose that E(X) = 5 and Var(X) = = 4. Find then and p.

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: Denote the sample as X1,...,Xn is exponentially distributed Show the distribution of X-u in deitels

A: Given  Sample asx1 , x2 , ....... , xn is exponentially distributed

Q: Suppose that X has a Poisson distribution with mean : 2 and Y has an exponential distribution with…

A: The random variable X has a Poisson distribution with mean μ=2, and Y has an exponential…

Q: A poisson random variables has f(x,3)= 3x e-3÷x! ,x= 0,1.......,∞. find the probabilities for X=0 1…

A: Given: Let X be a Poisson random variable. The probability mass function is provided as:…

Q: For the optimization of the likelihood function, the computation of the log-likelihood L(8; y) = log…

A: In maximum likelihood estimation we maximize the likelihood function with respect to  the parameters…

Q: Suppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2…

A: Step:- 1 Gini index / coefficient Formula is Gi=∫01x dx-∫01f(x) dx1/2Here, ∫01x dx = 12= Area of y=x…

Q: .Suppose that X has a Weibull distribution with parameters a and ß. Integrate to find the momer…

A:

Q: If for a poisson variate 2p ( x = 0 ) = p ( x = 2 ). Find the probability that %3D i) p(x<3), i)…

A: It is given that 2Px=0=Px=2. The pmf of a Poisson distribution is PX=x=e-μμxx!.

Q: Let X1,..., X,|A be iid Poisson(A), and let A ~ Gamma(a, B), with a, B are known. Give two reasons…

A: Given information: The probability density function of the random variable X is as given below:

Q: Suppose that X1,..., X, form a random sample from an exponential-distribu- ton for which the value…

A: Mle is that value of parameter which maximize the likelihood.

Q: Suppose that x has a hypergeometric distribution with N = 300, n = 30, and K=100. 1. Find p(x=10)…

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: is binomia triáls and parameter (a) Determine E(Y | X = x) and V(Y |X = x). (b) Use the previous…

A:

Q: Find  P(X=4) if X has a Poisson distribution such that 3P(X=1)=P(X=2)

A: Given: 3P(X=1)=P(X=2)

Q: Suppose X1, . . . , Xn ∼ Exponential(λ) is a set of n observations drawn independently from an…

A: Reviewing information, X1 , ⋯⋯ , Xn ~iid Exp(λ)  The pdf is, f(xi ;λ)= λ·e-λ·xi

Q: Suppose that X has a lognormal distribution with parameters 0-5 and w2 = 9. Determine the following:

A: Given: X has a lognormal distribution. θ = 2 ω2 = 9

Q: Let X has Poisson distribution with parameter A such that P(X=2) =9P(X=4) +90P(X=6). Find the value…

A: Solution : Given that, Let , X has poisson distribution with parameter λ such that…

Q: Suppose that X, and X2 are independent and exponentially distributed random vari- X1 ables, both…

A:

Q: 5. Suppose that X has an exponential distribution with parameter A. Prove that Y = VX has a Weibull…

A:

Q: Suppose that X has a lognormal distribution with parameters 0 = 5 and w2 = 9. Determine the…

A: We have given that,  Let X be the random variable from Log normal distribution with parameters θ = 5…

Q: Suppose that X has a Poisson distribution with h = 80. Find the probability P(x is less than or…

A: Given, X ~ Poisson (λ = 80)   The probability mass funnction is given by: f(x, λ) = P (X = x) = λx…

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: Suppose X has a uniform distribution on the interval [−2, 3]. Find the moment generating function of…

A: X has a uniform distribution X~U[-2,3]

Q: If a continuous RVX (> 0) possesses memoryless property, that is P(X>x+h)= P(X > x). P(X > h), then…

A:

Q: If X1, X2, X, is a random sample from an exponential population having mean 1 find the exact…

A:

Q: 3. If X has a Poisson distribution and if P(X = 0)3D0.25, find P(X > 4).

A: Here, P(X=0) =0.25 That is, PX=0=0.25  e-λλ00!=0.25        e-λ=0.25             λ=-In0.25…

Q: If the cumulative distribution [Q5B] function of f(x) is F(x), find: E(X) 1- e-8x x > 0 F(x) =…

A: Cumulative function of  fx is given as follow: Fx:1-e-8x     x≥00              otherwise We need to…

Q: Suppose X has a uniform distribution on the interval [2,6]. Derive the moment generating function.…

A: Given that X follows uniform distribution on the interval [2,6]. Here, a=2 and b=6 a) Formula for…

Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

Q: Given that a random variable X have a Poisson distribution with 2; Find E[cos(nX)] if E(X) = In 2

A: Given information: X = a Poisson random variable The expected value of X is: EX=ln 2=λ It is…

Q: 2" Find the characteristic function of the Erlang distribution given byf(x) = n - -ax e U(x) and…

A:

Q: Consider the distribution of Binomial, Poisson, Exponential, Gamma, and let T=X+ 4 & T, = (X- 1).…

A: An estimator is said to be unbiased if E(Statistic)= Parameter If not so  Then the estimator is…

Q: If x is a Poisson variate with mean m, what would be of e k where k is a constant. Find also the…

A:

Q: If a random variable X has the moment generating function Mx (t) = 2 - ť Datermine the variance of…

A:

Q: Let X Poisson(A) and Y = vX. Use the delta method to approximate the mean and variance of Y.

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: If has a Poisson distribution such that P(X 21)=0.8646 then then the variance of is equal to

A:

Q: Let X1 and X2 be IID exponential with parameter  &gt; 0. Determine the distribution ofY = X1=(X1 +…

A: Consider the random variables, (X1+X2)~Exp(λ) The CDF of Y=X1+X2 is,

Q: 3. If X has a Poisson distribution and if P(X = 0) = 0.25, find P(X > 4). %3D

A: Given : X has a Poisson distribution. P(X=0)= 0.25 PX=x = e-λ×λxx! PX=0 = 0.25 e-λ×λ00!= 0.25…

Q: The US divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate…

A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

Q: 3. Let X1, · ,Xn be iid with exponential distribution with mean 0. Show that (X1+X2)/E÷ Xi and E- X;…

A: Given that X1, . . ., Xn be iid with exponential distribution with mean θ.

Q: Consider the distribution of Binomial, Poisson, Exponential, Gamma, and let T1=X+4 and T2=(X-1)…

A: Let X be the random variable. Given that the statistic T1=X+4 and T2=(X-1). Unbiasedness: For a…

Q: Suppose that Y,...,Y, Poisson(A). We have shown that the MLE for A is Y. It turns out that we are…

A: find the mle..........

Q: In the daily production of a certain kind of rope, the number of defects per foot given by Y is…

A: It is given that the mean of λ is 3.

Q: Find the marginal probability of X = 1.

A: Given:     Y     1 2 3 X 1 0.05 0.05 0 2 0.05 0.1 0.2 3 0.1 0.35 0.1

Q: a. If X is a Poisson variate such that 2P(X=0)=P(X=2),find the probability that P(XS3).

A: Note: According to Bartleby Expert guidelines, we can answer only one question and rest can be…

Q: 3x (1+x) Q2. If f(x) = ;0<x <2 denotes the pdf of a continuous random variable, find mean 14 and…

A:

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…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.