In: Statistics and Probability
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? 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? |
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