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12 June, 09:55

NTD Consulting Partners conducted a survey of top executives that found that that 35% of them regularly read Time magazine, 20% read Newsweek, and 40% read U. S. News & World Report. A total of 10% read both Time and U. S. News & World Report. What is the probability that a particular top executive reads either Time or U. S. News & World Report regularly?

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  1. 12 June, 12:31
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    To solve this question you have to use the Addition rule which represents the probability that two events take place separately or at the same time. Here we have 3 events (Magazines) each one with a probability:

    P (Time) = 35% = 0.35

    P (Newsweek) = 20%=0.20

    P (U. S. News & World Report) = 40% = 0.40

    The problem also gives the probability of Times and U. S. News & World Report magazine together:

    P (Times ∩ U. S. News & World Report) = 10% = 0.10

    Then, to know the probability that a particular top executive reads either Time or U. S. News & World Report regularly we have to sum the probabilities of Time and U. S. News and subtract the probability of readers of both:

    P (Times ∪ U. S. News & World Report) =

    P (Times) + P (U. S. News & World Report) - P (Times ∩ U. S. News & World Report)

    P (Times ∪ U. S. News & World Report) = 35% + 40% - 10%

    P (Times ∪ U. S. News & World Report) = 65%
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Home » Social Studies » NTD Consulting Partners conducted a survey of top executives that found that that 35% of them regularly read Time magazine, 20% read Newsweek, and 40% read U. S. News & World Report. A total of 10% read both Time and U. S. News & World Report.
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