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    Probability: Relative Frequencies for one-way distances

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    5.22 A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work:

    Number of Miles (One-Way)
    A B C D E F GREATER THAN AND EQUAL TO
    <5 6-10 11-15 16-20 21-30 >31 LESS THAN AND EQUAL TO
    Relative
    Frequency 0.38 0.25 0.16 0.09 0.07 0.05

    a. What is the probability that a randomly selected individual will have to travel 11 or more miles to work?
    b. What is the probability that a randomly selected individual will have to travel between 6 and 15 miles to work?
    c. Draw a Venn diagram that includes the relative frequency probabilities in the table.
    d. Using the letter identifications provided, calculate the following probabilities: P(A or B or E); P(A or F); P(A' or B); P(A or B or C').

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    Solution Summary

    Relative frequencies for one-way distances are given in the solution. A venn diagram is provided.

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