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***
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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