A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample of 10 adults over 50, what is the proba

Question

A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear sunglasses

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Helga 5 years 2021-08-10T07:37:09+00:00 1 Answers 219 views 0

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  1. Amity
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    2021-08-10T07:38:37+00:00
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    Answer:

    0.8497

    Step-by-step explanation:

    Given that:

    n = 10 ; number who wear sunglasses = atleast 6 ; proportion, p = 0.7

    Using binomial probability formula :

    P(x =x) = nCx * p^x * (1 – p)^(n – x)

    P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

    To save computation time, we can use a binomial probability calculator :

    P(x =6) = 0.2001

    P(x = 7) = 0.2668

    P(x = 8) = 0.2335

    P(x = 9) = 0.1211

    P(x = 10) = 0.0282

    = 0.2001 + 0.2668 + 0.2335 + 0.1211 + 0.0282

    = 0.8497

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