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26 March, 02:07

For an outdoor concert by the city orchestra, concert organizers estimate that 17,000 people will attend if it is not raining. If it is raining, concert organizers estimate that 4,000 people will attend. On the day of the concert, meteorologists predict a 70 % chance of rain. Determine the expected number of people who will attend this concert.

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  1. 26 March, 03:04
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    Expected number of people in concert = 7900 people

    Step-by-step explanation:

    We have given,

    In an concert,

    if it's not raining, number of people will attend concert = 17000 people

    If it's raining, then number of people will attend concert = 4000 people

    Since, probability of raining = 70% = 0.7

    Then probability of not raining = 30% = 0.3

    So,

    Expected number of people in concert = 0.3 * 17000 + 0.7 * 4000

    Expected number of people in concert = 5100 + 2800

    Expected number of people in concert = 7900 people
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