A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class

Question

A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is .

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Sophia 2 weeks 2021-09-10T12:36:12+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T12:37:51+00:00

    Answer:

    P(A | B)=\frac{7}{9}=0.778

    Step-by-step explanation:

    Let’s call B the event that consists of the selected student being a girl

    Call A to the event in which the selected student obtained an A.

    Then we look for the probability that A will occur given that B. That is, we look for P(A | B)

    This is a conditional probability and is calculated using the following formula

    P(A | B)=\frac{P(A\ and\ B)}{P(B)}

    In this case

    P(B)=0.45\\P(A\ and\ B)=0.35

    So

    P(A | B)=\frac{0.35}{0.45}

    P(A | B)=\frac{7}{9}=0.778

    0
    2021-09-10T12:38:02+00:00

    Answer:

    The probability that the student scored an A is : 0.778

    Step-by-step explanation:

    There are 55% boys and 45% girls

    So, No of boys is: 55/100

    No of girls is: 45/100

    So, total no of girls are: 45

    Since 35% of the girls scored A on test

    No of girls who scored A on test = 35

    The probability that the student scored an A is: 35/45

    The probability that the student scored an A is : 0.778

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