Question

A telemarketers computer selects phone numbers at random. the telemarketer has recorded the number of respondents in each age bracket for one evening in the following table. what is the probability that the next respondent will be 36 or older? Enter a fraction or round your answer to four decimal places if necessary under 18= 2718-25=2126-35=4136-45=60Over 45= 54

Answer 1

To get the probability, we need two things.

1. The total number of choices

2. The total number of choices considered favorable

Based on the table, there are a total of 203 respondents. Hence, we have 203 people as the total number of choices.

`27+21+41+60+54=203`

Now, based on the question, considered favorable are respondents who are 36 or older. Based on the table, we have a total of 114 respondents who are of this age. Hence, the total number of choices considered favorable is 114.

`\begin{gathered} 36-45:60people \\ over45=54people \\ 60+54=114people \end{gathered}`

The probability that the next respondent will be 36 or older is the ratio of the total number of choices considered favorable over the total number of choices. So, we have:

`P=(114)/(203)`

Or in decimal form,

`P=0.5616`

Answer:

The probability that the next respondent will be 36 or older is 114/203 or 0.5616.