Question

On average, 40 percent of U.S. beer drinkers order light beer and n=8. Construct the probability distribution (MINITAB, Excel or Appendix A), make a graph of its PDF and CDF, and describe its shape

Answer 1

Data: The probability that the U.S. beer drinkers order light beer is p=0.40

Let X be the number of light beer order by beer drinkers.

therfore,

### By using Excel command:

"=BINOMDIST(x,8,0.4,0)" we find the pmf for different value of x.

and

"=BINOMDIST(x,8,0.4,1)" we find the CDF for different value of x.

x=x	P(x=x)	P(X<=x)
0	0.016796	0.016796
1	0.08958	0.106376
2	0.209019	0.315395
3	0.278692	0.594086
4	0.232243	0.82633
5	0.123863	0.950193
6	0.041288	0.99148
7	0.007864	0.999345
8	0.000655	1

### By using the excel Graph function we using insert--->graph---->scatter plot we plot the pmf and cdf