Consider a binomial random varible with n = 25 and p = .6. Fill in the blanks

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Consider a binomial random varible with n = 25 and p = .6. Fill in the blanks below to find some probabilities using the normal approximation.

a. Can we use the normal approximation? Calculate np = ________ and nq = ________

b. Are np and nq both greater than 5? Yes ________ No ________

c. If the answer to part b is yes, calculate μ = np = ________ and σ = npq ________

d. To find the probability of more than 9 successes, what values of x should be included? x = ________

e. To include the entire block of probability for the first value of x = ________, start at ________.

f. Calculate z = z ± .5 - np/√npq = ________

g. Calculate P(x > 9) ≈ P(z > ________) = 1 - ________ = ________.

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Related Book For  book-img-for-question

Introduction To Probability And Statistics

ISBN: 9780495389538

13th Edition

Authors: William Mendenhall, Robert J. Beaver, Barbara M. Beaver

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