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30 August, 22:01

Experience with the Finite Mathematics course at a certain college suggests that of those students who get a grade of C or better on exam I, 90% get a C or better on exam II. Of those who get D or F on exam I, 70% get a D or F on exam II. This year 80% got C or better on exam I. Find the proportion of Finite Mathematics students who are likely to get D or F on exam II.

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  1. 30 August, 22:15
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    The proportion of Finite Mathematics students who are likely to get D or F on exam II is 0.22 = 22%.

    Step-by-step explanation:

    We have these following proportions:

    80% got C or better on exam I. Of those, 90% are likely to get a C or better on exam II. So 100-90 = 10% are likely to get D or F.

    20% got D or F on exam II. Of those, 70% get a D or F on exam II.

    Find the proportion of Finite Mathematics students who are likely to get D or F on exam II.

    10% of 80% plus 70% of 20%. So

    0.1*0.8 + 0.7*0.2 = 0.22

    The proportion of Finite Mathematics students who are likely to get D or F on exam II is 0.22 = 22%.
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