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10. If X is a binomial random variable with parameters n, 2,...
please help me. Thank you :) 2. Suppose X is a binomial random variable with parameters...
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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).
Problem 7 (15 points). Let X be random variable with the binomial distribution with parameters n...
Problem 7 (15 points). Let X be random variable with the binomial distribution with parameters n and 0 <p<1. (1) Show that **- 1 = 2* for any 1 Sxsn. (2) Show that when 0 < x < (n + 1)p, P(X = x) is an increasing function x and for (n + 1)p <x Sn, P(X = x) is a decreasing function x. (3) A certain basketball player makes a foul shot with probability 0.80. Determine for whal value...
(1 point) If X is a binomial random variable, compute the probabilities for each of the...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 1), n = 4, p = 0.1 Probability = (b) P(X > 1), n = 6, p = 0.1 Probability = (c) P(X < 3), n = 6, p = 0.3 Probability = (d) P(X > 2), n = 3, p = 0.4 Probability =
7. If x is a binomial random variable find the following probabilities: a) P(x = 2)...
7. If x is a binomial random variable find the following probabilities: a) P(x = 2) n = 10 and p = .40 b) P (x < 5) for n = 15 and p = .60 8. Find pl, oland o for n = 25 and p = .50
Problem 5. Let X be a binomial random variable with parameters n and p. Suppose that...
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,...
Find Pr[2 5B(15,.1) <3] . That is, if X is a binomial random variable counting successes...
Find Pr[2 5B(15,.1) <3] . That is, if X is a binomial random variable counting successes on n=15 Bernoulli trials with p=.1, find the probability that x is between 2 and 3, inclusive. O A.0.3954 O B. 0.1286 O c.1.7604 O d. 0.4383 O E.0.1714
Problem 8 (10 points). Let X be the random variable with the geometric distribution with parameter...
Problem 8 (10 points). Let X be the random variable with the geometric distribution with parameter 0 <p <1. (1) For any integer n > 0, find P(X >n). (2) Show that for any integers m > 0 and n > 0, P(X n + m X > m) = P(X>n) (This is called memoryless property since this conditional probability does not depend on m. Dobs inta T obabilita ndomlu abonn liaht bulb indofootin W
5. Imagine a random variable X that has a binomial distribution with n = 12 and...
5. Imagine a random variable X that has a binomial distribution with n = 12 and p = 0.4. Determine the following probabilities a) P(X 5) b) P(X s2) c) P(X9) d) P (3 X<5)
7. Let X be a binomial random variable following 16P{X = 1} = 4Var(X) = E(X)....
7. Let X be a binomial random variable following 16P{X = 1} = 4Var(X) = E(X). Find E(X). b(np), 0 < p < 1 such that, [8 marks) 2 probabilitar 5 phe
2. Let X be a binomial random variable with n 18 and p 0.48. Find (а)...
2. Let X be a binomial random variable with n 18 and p 0.48. Find (а) Р(X — 17) (b) Р(14 < X < 22) (c) the largest integer m such that P(X > m) > 0.7. You could do this by trial-and-error or by automating the process with for loop
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).
Problem 7 (15 points). Let X be random variable with the binomial distribution with parameters n and 0 <p<1. (1) Show that **- 1 = 2* for any 1 Sxsn. (2) Show that when 0 < x < (n + 1)p, P(X = x) is an increasing function x and for (n + 1)p <x Sn, P(X = x) is a decreasing function x. (3) A certain basketball player makes a foul shot with probability 0.80. Determine for whal value...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 1), n = 4, p = 0.1 Probability = (b) P(X > 1), n = 6, p = 0.1 Probability = (c) P(X < 3), n = 6, p = 0.3 Probability = (d) P(X > 2), n = 3, p = 0.4 Probability =
7. If x is a binomial random variable find the following probabilities: a) P(x = 2) n = 10 and p = .40 b) P (x < 5) for n = 15 and p = .60 8. Find pl, oland o for n = 25 and p = .50
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,...
Find Pr[2 5B(15,.1) <3] . That is, if X is a binomial random variable counting successes on n=15 Bernoulli trials with p=.1, find the probability that x is between 2 and 3, inclusive. O A.0.3954 O B. 0.1286 O c.1.7604 O d. 0.4383 O E.0.1714
Problem 8 (10 points). Let X be the random variable with the geometric distribution with parameter 0 <p <1. (1) For any integer n > 0, find P(X >n). (2) Show that for any integers m > 0 and n > 0, P(X n + m X > m) = P(X>n) (This is called memoryless property since this conditional probability does not depend on m. Dobs inta T obabilita ndomlu abonn liaht bulb indofootin W
5. Imagine a random variable X that has a binomial distribution with n = 12 and p = 0.4. Determine the following probabilities a) P(X 5) b) P(X s2) c) P(X9) d) P (3 X<5)
7. Let X be a binomial random variable following 16P{X = 1} = 4Var(X) = E(X). Find E(X). b(np), 0 < p < 1 such that, [8 marks) 2 probabilitar 5 phe
2. Let X be a binomial random variable with n 18 and p 0.48. Find (а) Р(X — 17) (b) Р(14 < X < 22) (c) the largest integer m such that P(X > m) > 0.7. You could do this by trial-and-error or by automating the process with for loop
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