The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets

Question

The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to September Road. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast. Find the probability that none of the households are tuned to September Road. P(none)

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Thành Đạt 3 years 2021-08-26T11:45:37+00:00 1 Answers 8 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-26T11:46:53+00:00
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    Answer:

    P(none) = 0.0859

    Step-by-step explanation:

    Given

    p =20\% — proportion of household that tuned to September

    n =11 — selected households

    Required

    P(none)

    Using the complement rule, the proportion that did not tune (q) is:

    q= 1 - p

    q= 1 - 20\%

    q= 1 - 0.20

    q= 0.80

    So, the probability that none of the 11 tuned in is:

    P(none) = q^{11}

    P(none) = 0.80^{11}

    P(none) = 0.0859

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