Find the probability of getting someone in the 18-21 age bracket or someone who does not respond.

Question

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 86 people in the 18-21 age bracket and finds that 73 of them respond and 13 refuse to respond. When 303 people in the 22-29 age bracket are contacted, 268 respond and 35 refuse to respond. Assume that 1 of the 389 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who does not respond.

Answer 1

The only way to get someone who is not [in the 18-21 age bracket or agreed to respond] is to get someone who is in the 22-29 age bracket who refused to respond. There are 35 such people so

P(not[18-21 or agreed]) = 35/389

Therefore,

P([18-21 or agreed]) = 1 - 35/389= 354/389~ 0.9100.

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