According to a recent​ survey, the probability that the driver in a fatal vehicle accident is female​ (event F) is 0.2805. The probability t

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According to a recent​ survey, the probability that the driver in a fatal vehicle accident is female​ (event F) is 0.2805. The probability that the driver is 24 years old or less​ (event A) is 0.1759. The probability that the driver is female and is 24 years old or less is 0.0424. Answer parts​ (a) through​ (d) below.

(a) Find the probability of FUA. P (FUA)Round to four decimal places as needed.)

(b) Find the probability of F’UA. P(FUA) (Round to four decimal places as needed.)

(c) Find the probability of FnA’

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Ngọc Hoa 3 years 2021-08-26T04:38:59+00:00 1 Answers 39 views 0

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  1. Acacia
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    2021-08-26T04:40:57+00:00
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    Question d:

    (D) Find the probability of F’nA’

    Answer:

    0.4140

    0.7619

    0.2381

    0.9576

    Step-by-step explanation:

    Given that :

    Female in fatal accident P(F) = 0.2805

    Driver is 24 years or less P(A) = 0.1759

    Driver is female and 24 years or less P(FnA) = 0.0424

    A.) Find the probability of FUA.

    P(FUA) = P(F) + P(A) – P(FnA)

    = 0.2805 + 0.1759 – 0.0424

    = 0.4140

    (b) Find the probability of F’UA.

    P(F’UA) = 1 – P(F) + P(FnA)

    = 1 – 0.2805 + 0.0424

    = 0.7619

    C.) P(FnA’) = 1 – P(F’UA)

    = 1 – 0.7619

    = 0.2381

    (d) Find the probability of F’nA’

    P(F’nA’) = (FnA)’ = 1 – (FnA)

    = 1 – 0.0424

    = 0.9576

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