Use the geometric distribution to derive E(Y), E(Y^2), and V(Y) from the Poisson distribution

Q: Let Y₁,..., Yn be an iid sample U(0, 0), 0 > 0, with pdf 0≤ y ≤ 0, and CDF f(y) = { 0, elsewhere…

A: Given Yi ~U(0,θ) pdf  f(y)=1/θ 0<y<θ  Cdf  F(y)=y/θ

Q: Let X be a discrete random variable having the Poisson distribution with parameter u. we know that…

A: Let X be a discrete random variable having a Poisson distribution with parameter .We know that .

Q: Let X be a discrete random variable having the Poisson distribution with parameter μ. we know that…

A: Let X be a discrete random variable having a Poisson distribution with parameter μ.We know that…

Q: Hummingbirds visit a feeder at a rate of 0.75 visits per hour.  Let X be the number of hummingbird…

A: Given,Hummingbirds visit a feeder at a rate of 0.75 visits per hourLet X=no.of hummingbird visits on…

Q: c) What is the probability that the observed depth is at most 9? . (round your answer to 4 decimal…

A:

Q: x)=1,2,..., 6. lculate the mean and variance of the number o library to a borrower. dom variable…

A: (a) To calculate the mean and variance of the number of books issued by the library to a borrower,…

Q: Let X, and X, be independent exponential distributions with the same parameter 1. What is the joint…

A: Given:  X1 & X2 are independent random variables with pdfs             f(x1)=λe-λx1; x1>0…

Q: Let X1,...,Xn be a random sample from the distribution f(x) = 2x, 0 < x < 1. Find the distribution…

A: f(x)=2x ; 0&lt; x&lt; 1 n be the sample size

Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: If Y is a standard Cauchy random variable, show that Y and are identically distributed. Y

A: Solution

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Hello, Thanks for posting your question here.  I believe that here you're asked to find µx̅  and σx̅…

Q: Suppose that the conditional distribution of Y given X = x is Poisson with mean E(Y|x) = x, and that…

A: d) From the given information, The conditional distribution of Y given X=x is Poisson distribution…

Q: Suppose X₁ and X₂ have the following joint distribution X₁ 1 d 2 1/3 1/12 1/6 0 2 1/36 0 0 0 X₂ 1 0…

A:

Q: The amount of water in a reservoir at the beginning of the day is a random variable X and the amount…

A: The amount of water left in the reservoir at the end of the day: Z= X-Y

Q: Random variable X has a standard normal distribution. Find the PDF of the random variable Y, where:…

A: a) To find the probability density function (PDF) of the random variable Y = 3X - 1, where X follows…

Q: Let X ~ I(2,8). Find the distribution of Y = 2x.

A:

Q: Let a continuous random variable X denote the diameter of a hole drilled in a sheet of metal…

A: Answer:   I answered only question number  (a) and (b).   (a):

Q: Show that the normal distribution has(a) a relative maximum at x = μ;(b) inflection points at x = μ…

A: We know that the pdf for the normal distribution is given by:

Q: An insurance company pays out el Poisson process having rate à = 2

A: The average rate is given as , 2 per week. λ=2. The amount of money paid on each policy is uniformly…