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27 November, 13:57

A baseball player hit 65 home runs in a season. Of the 65 home runs, 19 went to right field, 23 went to right-center field, 9 went to center field, 11 went to left-center field, and 3 went to left field.

(a) What is the probability that a randomly selected home run was hit to right field?

(b) Was it unusual for this player to hit a home run to right field?

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  1. 27 November, 14:29
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    a) 29.23% probability that a randomly selected home run was hit to right field

    b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

    Step-by-step explanation:

    A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.

    (a) What is the probability that a randomly selected home run was hit to right field?

    Desired outcomes:

    19 home runs hit to right field

    Total outcomes:

    65 home runs

    19/65 = 0.2923

    29.23% probability that a randomly selected home run was hit to right field

    (b) Was it unusual for this player to hit a home run to right field?

    29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
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