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 the following table. What is the probability that the next respondent is between 18 and 35? Enter a fraction or round your answer 4 decimal places,if necessary.Under 18= 2618-25=3026-35=4036-45=60Over 45= 51

Answer 1

The probability of an event e occurring can be found using the formula:

$P(an\text{ event e occurring \rparen = }\frac{Number\text{ of occurrence of the event}}{Total\text{ number of occurrence}}$

Required: The probability that the next respondent is between 18 and 35

Number of respondents between the ages of 18 and 35 = 30

Total number of respondents:

$\begin{gathered} =\text{ 26 + 30 + 40 + 60 + 51} \\ =\text{ 207} \end{gathered}$

Hence, the probability that the next respondent is between 18 and 35 is:

$\begin{gathered} P=\text{ }\frac{30}{207} \\ =\text{ 0.144927} \\ \approx\text{ 0.1449} \end{gathered}$

Answer: 0.1449