d. What is the probability of 16 to 24 successes? .4677 e. What is the probability of 16 or fewer successes? .1923

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I cannot get the correct answer for the last two.. 

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?
%3D
20
O =
4
b. Is this situation one in which binomial probabilities can be approximated by
the normal probability distribution?
Yes
Explain.
Because np>5 and n(1-p)25 v
c. What is the probability of exactly 22 successes?
.0879
d. What is the probability of 16 to 24 successes?
.4677
e. What is the probability of 16 or fewer successes?
.1923
Transcribed Image Text: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? %3D 20 O = 4 b. Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Yes Explain. Because np>5 and n(1-p)25 v c. What is the probability of exactly 22 successes? .0879 d. What is the probability of 16 to 24 successes? .4677 e. What is the probability of 16 or fewer successes? .1923
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