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7 December, 11:02

A baseball park has determined that the number of people contained in each vehicle parked in one of their lots has following distribution.

Number of People 1 2 3 4 more than 4

Probability 0.20 0.35 0.25 0.10?

a) What is the probability that more than 4 people arrive in a vehicle?

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  1. 7 December, 14:40
    0
    Pr (No. of people > 4) = 0.10

    Step-by-step explanation:

    The vehicle parking has the following probability distribution

    Number of People 1 2 3 4 more than 4

    Probability 0.20 0.35 0.25 0.10?

    We want to find out the probability of number of people more than 4

    No. of people = 1 - > Pr (1) = 0.20

    No. of people = 2 - > Pr (2) = 0.35

    No. of people = 3 - > Pr (3) = 0.25

    No. of people = 3 - > Pr (4) = 0.10

    Pr (No. of people > 4) = ?

    We know that the sum of probabilities must be equal to 1

    Pr (No. of people > 4) = 1 - Pr (1) - Pr (2) - Pr (3) - Pr (4)

    Pr (No. of people > 4) = 1 - 0.20 - 0.35 - 0.25 - 0.10

    Pr (No. of people > 4) = 1 - 0.90

    Pr (No. of people > 4) = 0.10

    Therefore, the probability that more than 4 people arrive in a vehicle is 0.10.
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