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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 responded will be between 26 and 45 in a fraction or round your answer to four decimal places if necessary under 18 =2618-25=2326-35=4636-45=59over 45=54

Answer :

Given

frequency distribution of age and number of calls

under 18 =26

18-25=23

26-35=46

36-45=59

over 45=54​

Total = 208

Find

probability that the next responded will be between 26 and 45

Explanation

P(26 - 45) = P(26-35)+P(36-45)

[tex]\begin{gathered} P(26-35)=\frac{46}{208} \\ \\ P(36-45)=\frac{59}{208} \end{gathered}[/tex]

so ,

[tex]\begin{gathered} P(26-45)=\frac{46}{208}+\frac{59}{208} \\ \\ P(26-45)=\frac{105}{208} \\ \\ P(26-45)=0.5048 \end{gathered}[/tex]

Final Answer

Probability that the next responded will be between 26 and 45 is 0.5048

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