Question

	Age
	18-21	22-29	30-39	40-49	50-59	60 and over
Responded	73	255	245	136	138	202
Refused	11	20	33	16	27	49

A. If two selections are made with replacement, find the probability that both people refused to respond.

B. If two selections are made without replacement, find the probability that both people refused to respond.

C. Compare the results from parts (a) and (b). Should we treat the two selections as independent or dependent events?

***Please show all supporting calculations***

Answer 1

for above:

	18-21	22-29	30-39	40-49	50-59	60 and over	total
Responded	73	255	245	136	138	202	1049
Refused	11	20	33	16	27	49	156
total	84	275	278	152	165	251	1205

a) probability that both people refused to respond =(156/1205)*(156/1205)=0.0168

b) the probability that both people refused to respond =(156/1205)*(155/1204)=0.0167

c)

for part a) they are independent as done with replacement while for part b it is considered dependent.