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21 March, 04:53

A consumer organization inspecting new cars found that many had appearance defects. While none had more than 3 defects, 7% had three, 11% had two, and 21% had one defect. Find the expected number of appearance defects in a new car, and the standard deviation.

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  1. 21 March, 08:08
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    E (X) = 0.64

    Sd (X) = 0.933

    Step-by-step explanation:

    3 (0.07) + 2 (0.11) + 1 (0.21)

    E (X²) = 3² (0.07) + 2² (0.11) + 1² (0.21)

    = 1.28

    Var (X) = 1.28 - 0.64² = 0.8704

    Sd = 0.933
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