\"A baseball player is known to get onto 1^st base 30% of the times he is at bat

Question

"A baseball player is known to get onto 1^st base 30% of the times he is at bat. That player bats 70 times." For the binomial experiment described above: a. Identify n and p (be sure to label which is which) b. Find the mean (or expected value) for the experiment c. Find the standard deviation for the experiment d. Find the probability that the player will get onto 1^st base 25 or more times in his 70 at-bats. "Wait times a local restaurant are known to be normally distributed with a mean of 19 minutes and a standard deviation of 8 minutes." For the normally distributed situation described above: a. Identify the mean

Explanation / Answer

Solution:-

a). n = 70 and p = 0.3

b). Mean = np = 70 * 0.3 = 21

c). Standard deviation = sqrt(npq) = sqrt(70*0.3*0.7) = 3.8341

d). Cumulative Probability: P(X > 25) = 0.179850441299166 or 0.180

Formula used -

where:

P(k out of N) = N! k!(N-k)! (pk)(qN-k)

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