Question

3. -11 points DevoreStat9 5.E.039. My Notes Ask Your Teacher It is known that 80% of all brand A external hard drives work in a satisfactory manner throughout the warranty period (are "successes"). Suppose that n - 15 drives are randomly selected. Let X = the number of successes in the sample. The statistic xin is the sample proportion (fraction) of successes. Obtain the sampling distribution of this statistic. (Hint: One possible value xın is 0.2, corresponding to x = 3. What is the probability of this value (what kind of random variable is X)?] (Round your answers to three decimal places.) Xắn | P(X^n) You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It Talk to a Tutor

Answer 1

for x/n will have same probability as binomial distribution of x since n is fixed,

x	x/n	P(x/n)
0	0.000	0.000
1	0.067	0.000
2	0.133	0.000
3	0.200	0.000
4	0.267	0.000
5	0.333	0.000
6	0.400	0.001
7	0.467	0.003
8	0.533	0.014
9	0.600	0.043
10	0.667	0.103
11	0.733	0.188
12	0.800	0.250
13	0.867	0.231
14	0.933	0.132
15	1.000	0.035