Question

3.) Twelve percent of people in the US eligible to donate blood actually do. You randomly section 15 eligible blood donors and ask them if they donate blood. a. Construct a binomial distribution (table) i. First column x values ii. Second column boundaries iii. Third column probabilities using Excel functions b. Create a histogram of this probability distribution. c. Describe the histogram. d. Find the mean of the probability distribution by creating a fourth column multiplying the x value and its probability and then adding up that fourth column

Answer 1

Ans 3) a) we have

X	P(X)
0	0.1470
1	0.3006
2	0.2870
3	0.1696
4	0.0694
5	0.0208
6	0.0047
7	0.0008
8	0.0001
9	0.0000
10	0.0000
11	0.0000
12	0.0000
13	0.0000
14	0.0000
15	0.0000

b)

Histogram 0.3500 0.3000 0.2500 0.2000 P(X) 0.1500 0.1000 0.0500 0.0000 0 1 3 5 6 7 00 10 11 12 13 14 15 N Number of Successes

c) the histogram seems to be skewed to the positive side .

d )

X	P(X)	XP(X)
0	0.1470	0
1	0.3006	0.300628
2	0.2870	0.573927
3	0.1696	0.508708
4	0.0694	0.277477
5	0.0208	0.104054
6	0.0047	0.028378
7	0.0008	0.005805
8	0.0001	0.000905
9	0.0000	0.000108
10	0.0000	9.81E-06
11	0.0000	6.69E-07
12	0.0000	3.32E-08
13	0.0000	1.13E-09
14	0.0000	2.37E-11
15	0.0000	2.31E-13

Mean = 1.8