A pollster contacts 74 people in the 18-21 age bracket and finds that 38 of them respond and 36 refuse to respond. When 297 people in the 22-29 age bracket are contacted, 278 respond and 19 refuse to respond. Suppose that one of the 371 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket OR someone who refused to respond. Round to 3 decimal places.

Question

Mathematics

Liana Madden

14 October, 09:29

A pollster contacts 74 people in the 18-21 age bracket and finds that 38 of them respond and 36 refuse to respond. When 297 people in the 22-29 age bracket are contacted, 278 respond and 19 refuse to respond. Suppose that one of the 371 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket OR someone who refused to respond. Round to 3 decimal places.

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Adeline · Answer 1

0,250

Step-by-step explanation:

The probability that you looking for is sum of probability of getting someone in the 18-27age (74 persones) and probability to getting someone who refused (36 and 19 persones) - probability of getting some of 18-27 age who refused (36 persons).

The probability is:

P (a or b) = p (a) + p (b) - p (a&b) = 74/371 + (36+19) / 371-36/371=0,199+0,148-0,097=0,250