Question

A telemarketer's computer selects phone numbers at random. The telemarketer has recorded the number of respondents in each age bracket for one evening in thefollowing table. What is the probability that the next respondent will be 36 or older? Enter a fraction or round your answer to 4 decimal places, if necessary.Under 1825Number of Respondents by Age18-2526-3536-45243456Over 4554

Answer 1

First, we need to find the total number of respondents:

Then:

Under 28 25

18-25 24

26-35 34

36-45 56

Over 45 54

Total = 25+24+34+56+54

Total= 193 total of respondets

Now, we need to find respondents that are 36 or older. then:

36-45 56

Over 45 54

n(36 or older)= 56 + 54

n(36 or older= 110 respondents that are 36 or older

Finally, the probability, in this case, can be found using:

P(36 or older)= n(36 or older)/ Total

Replacing on the equation:

P(36 or older)=110/193

So, the probability for the next respondent will be 36 or older is given by the fraction 110/193.