Chapter 6.3, Problem 7P

Binomial Distribution: Histograms Consider a binomial distribution with $n=5$ trials. Use the probabilities given in Table 2 of the Appendix to make histograms showing the probabilities of $r=0,\text{ 1, }2,3,4,$ and 5 successes for each of the following. Comment on the skewness of each distribution.

(a) The probability of success is $p=\mathrm{0.50.}$

(b) The probability of success is $p=\mathrm{0.25.}$

(c) The probability of success is $p=\mathrm{0.75.}$

(d) What is the relationship between the distributions shown in parts (b) and (c)? (c) If the probability of success is $p=\mathrm{0.73.}$ do you expect the distribution tobe skewed to the right or to the left? Why?