Twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006). On a particular weekend, 35 automobiles are involv

Question

Twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006). On a particular weekend, 35 automobiles are involved in traffic accidents.a. What is the expected number of these automobiles that are not covered by insurance?b. What are the variance and standard deviation?

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Caroline 4 weeks 2021-09-23T23:43:47+00:00 1 Answer 0

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    2021-09-23T23:45:29+00:00

    Answer:

    Step-by-step explanation:

    Given that twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006).

    considering the total number of vehicles, probability for a randomly drawn vehicle not covered by insurance = 0.23

    Each vehicle can be treated as independent of the other

    Hence X no of vehicles not covered by insurance is Binom with n = 35 and p – 0.23

    a) the expected number of these automobiles that are not covered by insurance=E(x) =

    np = 35(0.23)\\= 8.05

    b) the variance

    =npq = 8.05(0.77) \\=6.1985

    Std dev = square root of variance = 2.4897

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45:7+7-4:2-5:5*4+35:2 =? ( )