assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone sur

Question

assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.

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Kiệt Gia 3 years 2021-09-04T13:40:34+00:00 1 Answers 20 views 0

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  1. minhkhang
    0
    2021-09-04T13:42:20+00:00
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    Step-by-step explanation:

    Given:

    p=54 %=0.54  

    n=8

    DEFINITIONS

    Definition binomial probability:  

    P(X=x)=\frac{n !}{x !(n-x) !} \cdot p^{x} \cdot(1-p)^{n-x}

    Complement rule:

    P( not A) = 1- P(A)

    Addition rule for disjoint or mutually exclusive events

    P(A \text { or } B)=P(A)+P(B)

    Evaluate the definition of binomial probability at x=6

    P(X=6)=\frac{8 !}{6 !(8-6) !} \cdot 0.54^{6} \cdot(1-0.54)^{8-6}=28 \cdot 0.54^{6} \cdot 0.46^{2} \approx 0.1469

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