Question

In: Statistics and Probability

You may need to use the appropriate appendix table or technology to answer this question. A...

You may need to use the appropriate appendix table or technology to answer this question. A binomial probability distribution has p = 0.20 and n = 100. (a) What are the mean and standard deviation?

)

What is the probability of exactly 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

(d)

What is the probability of 16 to 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

(e)

What is the probability of 15 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

Solutions

Expert Solution

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Use continuity correction.

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.125, TRUE)" & "=NORM.S.DIST(-0.125, TRUE)" to find the probability.

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Use continuity correction.

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.125, TRUE)" & "=NORM.S.DIST(-2.125, TRUE)" to find the probability.

------------------------------------------------------------------------------------------------------------------

Use continuity correction.

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-2.125, TRUE)" to find the probability.

orchestra answered 1 year ago
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