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