According to a recent? study, 8.6?% of high school dropouts are? 16- to? 17-year-olds. In? addition, 5.7?% of high school dropouts are white

Question

According to a recent? study, 8.6?% of high school dropouts are? 16- to? 17-year-olds. In? addition, 5.7?% of high school dropouts are white? 16- to? 17-year-olds. What is the probability that a randomly selected dropout is? white, given that he or she is 16 to 17 years? old? The probability that a randomly selected dropout is? white, given that he or she is 16 to 17 years? old, is nothing. ?(Round to four decimal places as? needed.)

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Emery 4 days 2021-10-09T21:42:03+00:00 2 Answers 0

Answers ( )

    0
    2021-10-09T21:43:29+00:00

    Answer: the probability that a randomly selected dropout is white is 0.4902%

    Step-by-step explanation:

    According to the provided information,

    8.6% of high school dropouts are in the age bracket of 16 to 17 years old.

    Then 5.7% of the high school dropouts that are 16 to 17 years old are whites.

    Therefore, the probability that a randomly selected dropout is white =

    5.7% of 8.6% = 0.4902%.

    For clarity sake, we can assume that there are 3000 students in the high school.

    8.6% are dropouts :

    8.6/100 × 3000 = 258 total dropouts.

    Now, suppose 5.7% of the total dropouts in that school are whites, therefore the number of white dropouts in the school is:

    5.7/100 × 258

    = 14 white dropouts.

    We can also achieve this by multiplying the two percentages by the total number of students in the school

    i.e 8.6% × 5.7% × 3000

    = 14 whites dropouts

    This affirms that the probability that a randomly selected dropout is white =

    5.7% × 8.6% = 0.4902%

    0
    2021-10-09T21:43:37+00:00

    Answer:

    0.6628 or 66.28%

    Step-by-step explanation:

    The probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old is determined by the probability of them being a white 16 to 17 years old dropout (5.7%), divided by the probability of them being a 16 to 17 years old dropout of any ethnicity (8.6%):

    P(W|16\ to\ 17)=\frac{P(W\ and\ 16\ to\ 17)}{P(16\ to\ 17)} =\frac{0.057}{0.086}\\P(W|16\ to\ 17)=0.6628=66.28\%

    There is a 0.6628 or 66.28% chance that a randomly selected dropout is white, given that he or she is 16 to 17 years old.

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