Question

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 94 people in the 18-21 age bracket and finds that 80 of them respond and 14 refuse to respond. When 256 people in the 22-29 age bracket are contacted, 232 respond and 24 refuse to respond. Assume that 1 of the 350 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who agreed to respond.

Answer 1

Given data

Age group	18-21	22-29
Responded	80	232
Refused	14	24
Total	94	256

Total number of people(n) =94+256=350

no of people responded in age group 18-21 (A)=80

no of people refused in age group 18-21 (B)=14

no of people responded in age group 22-29 (C)=232

no of people refuse in age group 22-29 (D)=24

Now randomly one person is selected so we have to find the probablity of getting someone in the 18-21 age bracket or who agreed to respond

So total no of people ready to respond (E)=A+C=80 + 232=312

total no of people who refuse in age braket 18-21 (F)=14

so the probablity of getting A person who responded or in the age braket 18-21 =