0.2e ( poimt Given the M randmvariable X is MO). t0Provide the name of the distribution...
(1 point) If Y-LX, and every X, is ii.d with distribution binomial(n, p), find the MGF of Y M(t) What is the distribution of Y? Select all that apply. There may be more than one correct answer A. binomial(n, m p) B. negative binomial (n, p) C. negative binomial(m,p) D. binomial (n, p) E. negative binomial(n, m * p) F. binomial(m *n,p) G. binomial(m, p) OH. negative binomial(m * n, p) I. None of the above (1 point) If Y-LX,...
(1 point) If Y-Σǐn 1 X, and every Xi is i.i.d with distribution binomial(n, p), find the MGF of Y M(t) What is the distribution of Y? Select all that apply. There may be more than one correct answer A. binomial (n, m * p) B. negative binomial(m * n,p) C. negative binomial(n,p) D. negative binomial(m, p) E. binomial(m,p) F. binomial(n,p) G. binomial(m * n,p) H. negative binomial(n,m* p) I. None of the above
1 point) If YX and every X, is i.i.d with distribution binomial(n, p), find the MGF of Y M(t) = What is the distribution of Y? Select all that apply. There may be more than one correct answer. DA, binomial(rn * n, p) B. binomial(n, m*p) | | C. binomial(m, p) D. negative binomial(n,p) E. negative binomial(m,p) F. negative binomial(n, m* p) G. binomialn,p) OH. negative binomial(m * n, p) I. None of the above
Please answer from a-d Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1,2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2,0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 X X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 Write down the probability mass function and What is the PMF of X? A. Poisson (3...
(1 point) Given the MGF of random variable Wis M(t) = €2.4+-+15t provide the name of the distribution of W, as well as its parameters. Select all that apply. There may be more than one correct answer. A. normal(u = 2.4, o2 = 15) B. normallu = 15, o2 = 2.4) C. gamma(a = 4.8,B = 15) D. gamma(a = 15, B = 4.8) E. normal(u = 4.8, 02 = 15) OF. gamma(a = 15, B = 2.4) G. normallu...
1. Given that x has a Poisson distribution with μ=4, what is the probability that x=6? Round to four decimals. 2. Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find P(4) when μ=7. Round to the nearest thousandth. 3. Given that x has a Poisson distribution with μ=0.4, what is the probability that x=4? Round to the nearest thousandth. 4. Describe the difference between the value of x in a binomial distribution and in...
Please answer from b-d as priority! Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1.2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 F 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 (3 pts) Write down the probability mass function and What is the PMF of...
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n= 11, p = 0.2, x ≤ 4 The probability of x ≤ 4 successes is _______ (Round to four decimal places as needed.)Use n = 6 and p = 0.8 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters.
Show that if X follows a binomial distribution with n, trials and probability of success p,-p,jz 1,2, Hint: Use the moment generating function of Bernoulli random variable) 1. , n and X, are independent then X, follows a binomial distribution.
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)-...