Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared to only 9.9%

Question

Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared to only 9.9% of the females. Assume that the probability of selecting a male is the same as selecting a female. If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:

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Isabella 3 weeks 2022-01-08T14:36:47+00:00 1 Answer 0 views 0

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    2022-01-08T14:38:34+00:00

    Answer:

    There is a 45.05% probability that the selected person is a right-handed female.

    Step-by-step explanation:

    We have these following probabilities

    A 50% probability that a person is a male

    A 50% probability that a person is a female.

    A 12.6% probability that a male is left-handed.

    A 9.9% probability that a female is left-handed.

    If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:

    50% are female.

    9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.

    So

    P = 0.5*0.901 = 0.4505

    There is a 45.05% probability that the selected person is a right-handed female.

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