If Y is a binomial random variable with parameters n=60 and p=0.5, estimate the probability that...
If Y is a binomial random variable with parameters n=60 and p=0.5, estimate the probability that Y will equal or exceed 45 using the Normal approximation with a continuity correction.
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If Y is a binomial random variable with parameters n=60 and
p=0.5, estimate the probability that...
If x is a binomial random variable where n = 100 and p = 0.30, find...
If x is a binomial random variable where n = 100 and p = 0.30, find the probability that x is greater than or equal to 35 using the normal approximation to the binomial. (Discuss whether continuity correction is required or not)
Consider a binomial random variable x with n = 100 and p = 0.2. Use the...
Consider a binomial random variable x with n = 100 and p = 0.2. Use the correction for continuity and approximate P(21 < x < 26) using the normal approximation. (Round your answer to four decimal places.) P(21 < x < 26) = ________ Use the correction for continuity and approximate P(x ≥ 23) using the normal approximation. (Round your answer to four decimal places.) P(x ≥ 23) = __________ Use the correction for continuity and approximate P(x ≤ 30)using...
1. In a particular facility, 60% of students are men and 40% are women. In a...
1. In a particular facility, 60% of students are men and 40% are women. In a random sample of 50 students what is the probability that more than half are women? Let the random variable X = number of women in the sample. Assume X has the binomial distribution with n = 50 and p = 0.4. What is the expected value and variance of the random variable X? (6 points) In a random sample of 50 students what is...
(2) Let Y be a binomial random variable with parameters n and p. Remember that We...
(2) Let Y be a binomial random variable with parameters n and p. Remember that We know that Y/n is an unbiased estimator of p. Now we want to estimate the variance of Y with n借)(1-n) (a) Find the expected value of this estimator (b) Find an unbiased estimator that is a simple modification of the proposed estimator
(2) Let Y be a binomial random variable with parameters n and p. Remember that E(Y)...
(2) Let Y be a binomial random variable with parameters n and p. Remember that E(Y) V(Y)p1 -p) We know that Y/n is an unbiased estimator of p. Now we want to estimate the variance of Y with n(2(1 (a) Find the expected value of this estimator (b) Find an unbiased estimator that is a simple modification of the proposed estimator
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using...
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p-0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x;n, P). (Round your answers to four decimal places) (a) P15 s X 20) P P(1S s Xs 20) P(14.5 S Normal s 20.5) 0.5 0.6 0.8 The normal approximation of P(15 s X...
Let N be a binomial random variable with n = 2 trials and success probability p...
Let N be a binomial random variable with n = 2 trials and success probability p = 0.5. Let X and Y be uniform random variables on [0, 1] and that X, Y, N are mutually independent. Find the probability density function for Z = NXY.
please show work 3. Let X have a binomial distribution with parameters n = 25 and...
please show work
3. Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for p = 0.8, and compare to the exact probabilities calculated from Appendix Table A.1. (b) P(X15) (a) P(15X 20) (c) P(X 20).
14. If n = 10 and p = 0.5 in the binomial distribution, then what is...
14. If n = 10 and p = 0.5 in the binomial distribution, then what is the probability of X = exactly 6? 15. If n = 10 and p = 0.5 in the binomial distribution, then what is the probability of X = exactly 6 using Normal Approximation?
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,...
(2) Let Y be a binomial random variable with parameters n and p. Remember that We know that Y/n is an unbiased estimator of p. Now we want to estimate the variance of Y with n借)(1-n) (a) Find the expected value of this estimator (b) Find an unbiased estimator that is a simple modification of the proposed estimator
(2) Let Y be a binomial random variable with parameters n and p. Remember that E(Y) V(Y)p1 -p) We know that Y/n is an unbiased estimator of p. Now we want to estimate the variance of Y with n(2(1 (a) Find the expected value of this estimator (b) Find an unbiased estimator that is a simple modification of the proposed estimator
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p-0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x;n, P). (Round your answers to four decimal places) (a) P15 s X 20) P P(1S s Xs 20) P(14.5 S Normal s 20.5) 0.5 0.6 0.8 The normal approximation of P(15 s X...
please show work
3. Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for p = 0.8, and compare to the exact probabilities calculated from Appendix Table A.1. (b) P(X15) (a) P(15X 20) (c) P(X 20).
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,...
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