Question

# Age 18-21 22-29 30-39 40-49 50-59 60 and over Responded 73 255 245 136 138 202...

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?

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.

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