X ~ Binomial(n = 4, p)
The probability mass function of X is
a)
b) Moreover,
4. Suppose X is a Binomial random variable with parameters 4, and p. (a) Express E...
Suppose that X is a random variable from a binomial distribution with parameters n=12 and p. Consider the point estimate p̂=X/14 1. what's the bias of this estimate? 2. what is the value of the mean square error of this estimate if the actual value of p is 0.735
Problem 5. Let X be a binomial random variable with parameters n and p. Suppose that we want to generate a random variable Y whose probability mass function is the same as the conditional mass function of X given X-k, for some k-n. Let a = P(X-k), and suppose that the value of a has been computed (a) Give the inverse transform method for generating Y. (b) Give a second method for generating Y (c) For what values of a,...
Let X be a random variable, which has a binomial distribution with parameters n and p. It is known that E(X) = 12 and Var(X) = 4. Find n and p.
please help me. Thank you :) 2. Suppose X is a binomial random variable with parameters p and N, where N is a Poisson random variable with parameter λ. Calculate Cov(X,N).
E304 Calculate E(0.87"] where X is a Binomial random variable with the parameters (n=7, p=0.33). Answer: CHECK SE
11) Suppose X is a binomial random variable with -4 and p-0.5. What is Prob(XI)? A) 0.125 B) 0.25 C) 0.3125 D) 0.0625 E) None of the Above.
Problem 1. (a) Let X be a Binomial random variable such that E(X) 4 and Var(x) 2. Find the parameters of X (b) Let X be a standard normal random variable. Write down one function f(t) so that the random variable Y-f(X) is normal with mean a and variance b.
Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the following probabilities using the binomial formula. a.) P( x = 5) b.) P( x = 8) c.) P( x = 12) d.) P( x ≤ 4) e.) P( x ≥ 8) f.) P( x ≤12)
Problem 4 (10 points). Let X be a binomial random variable with parameters n = 15 and p. (1) If p = 0.30, Find E(X + (n - X)). [Note that n-X is the number of failures). (2) Find p such that P(X = 6) is most probable. In other words, please find p = po such that P(X = 6) achieves at the maximum as a function of p at p = Po
3. You are given a binomial random variable X, with parameters n = 8 and p = 0.1. Deter- mine the CDF and PMF of X and plot these.