A binomial probability distribution has p = .20 and n = 100. If required, round your...

A binomial probability distribution has p = .20 and n = 100.

If required, round your answers to four decimal places. Use “Continuity correction factor, if necessary”. Use Table 1 in Appendix B.

a. What are the mean and standard deviation?

=
=

b. Is this situation one in which binomial probabilities can be approximated by the normal probability distribution?
SelectYesNoItem 3

Explain.

SelectBecause np≥5 and n(1-p)≥5 Because np≥5 or n(1-p)≥5 Item 4

c. What is the probability of exactly 21 successes?

d. What is the probability of 16 to 24 successes?

e. What is the probability of 14 or fewer successes?

Solutions

Expert Solution

The general rule of thumb is that the sample size n is "sufficiently large" if:

np ≥ 5 and n(1 − p) ≥ 5
Then we can use the Binomial Approximation to Normal only

orchestra answered 1 year ago

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