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11 February, 14:09

1 in 4 adults are on a diet. in a random sample of 10 adults, what is the probability that the number on a diet is exactly 4

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  1. 11 February, 17:27
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    14.6%

    Step-by-step explanation:

    Use binomial probability:

    P = nCr pʳ (1-p) ⁿ⁻ʳ

    where n is the number of trials,

    r is the number of successes,

    and p is the probability of success.

    Here, n = 10, r = 4, and p = 1/4.

    P = ₁₀C₄ (1/4) ⁴ (1-1/4) ¹⁰⁻⁴

    P = 210 (1/4) ⁴ (3/4) ⁶

    P ≈ 0.146

    There is an approximate 14.6% probability that exactly 4 of the 10 adults are on a diet.
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