Assume that when adults with smartphones are randomly​ selected, 56​% use them in meetings or classes. If 11 adult smartphone users are rand

Question

Assume that when adults with smartphones are randomly​ selected, 56​% use them in meetings or classes. If 11 adult smartphone users are randomly​ selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.

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Thành Công 3 years 2021-08-19T10:18:34+00:00 1 Answers 9 views 0

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  1. Gerda
    0
    2021-08-19T10:19:45+00:00
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    Step-by-step explanation:

    Use binomial probability:

    P = nCr pʳ qⁿ⁻ʳ

    where n is the number of trials,

    r is the number of successes,

    p is the probability of success,

    and q is the probability of failure (1−p).

    Here, n = 11, p = 0.56, q = 0.44, and r = 0, 1, or 2.

    P = ₁₁C₀ (0.56)⁰ (0.44)¹¹ + ₁₁C₁ (0.56)¹ (0.44)¹⁰ + ₁₁C₂ (0.56)² (0.44)⁹

    P = (0.44)¹¹ + 11 (0.56) (0.44)¹⁰ + 55 (0.56)² (0.44)⁹

    P ≈ 0.0125

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