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5 December, 02:29

A researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 50% of this population prefers the color green. if 16 buyers are randomly selected, what is the probability that exactly 7 buyers would prefer green? round your answer to four decimal places.

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  1. 5 December, 02:51
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    We will use the Binomial probability formula to find the answer

    The formula is given by ⁿCₓ (p) ˣ (1-p) ⁿ-ˣ

    We have

    n, the number of trial = 16

    x, the sample we aim to try = 7

    p, the probability of success = 0.5

    Substitute these values into the formula

    P (7) = ¹⁶C₇ (0.5) ⁷ (1-0.5) ¹⁶⁻⁷

    P (7) = 0.1746 (rounded to four decimal places)
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