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 will be 25 or younger? Enter a fraction or round your answer to 4 decimal places, if necessary. Number of Respondents by Age Under 18 18-25 26-35 36-45 Over 45 28 25 41 60 54

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MrRoyal MrRoyal · Answer 1 · 2020-09-26T03:21:14+02:00

Answer:

[tex]P(25\ and\ below) = \frac{53}{208}[/tex]

Step-by-step explanation:

Given

Number of Respondents by Age

28 ------ Under 18

25 ------ 18-25

41 ------ 26-35

60 ------ 36-45

54 ------ Over 45

Required

Determine the probability of 25 or younger

First, we need to get the total number of respondents

[tex]Total = 28 + 25 + 41+ 60 + 54[/tex]

[tex]Total = 208[/tex]

Next, is to determine the respondents that are 25 or younger

These categories are:

28 ------ Under 18

25 ------ 18-25

[tex]25\ and\ below= 28 + 25[/tex]

[tex]25\ and\ below= 53[/tex]

The probability can then be calculated using:

[tex]P(25\ and\ below) = \frac{n(25\ and\ below)}{Total}[/tex]

[tex]P(25\ and\ below) = \frac{53}{208}[/tex]