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18 August, 23:15

Based on a Harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. If we randomly select five adults, is 1 a significantly low number who say that they were too young to get tattoos?

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  1. 19 August, 00:45
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    Answer: No. It is not

    Step-by-step explanation:

    From question we were given:

    Percentage of people who regret getting a tattoo = 20% = 0.20.

    From binomial P (X = x)

    = {n! * p^x * (1 - p) ^ n-x} : {x! * (n - x) !}

    From addition rule of mutually exclusive events. We have:

    P (A or B) = P (A) + P (B)

    Solving the binomial probability using x = 0.1

    P (x = 0) = {5! * 0.20^0 * (1 - 0.20) ^ 5 - 0) } : { 0! (5 - 0) !} = 0.3277

    P (x = 1) = {5! * 0.20^1 * (1 - 0.20) ^ 5 - 1) } : { 1! (5 - 1) !} = 0.4096

    Using addition rule for mutually exclusive event

    P = P (x = 0) + P (x = 1) = 0.3277 + 0.4096

    P = 0.7373

    The probability is greater than 0.05, the event likely to occur thus 1 is not low outcome.
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