The prior probability that an entering undergraduate student will get their BA is 0.48. 65% of students who graduate entered with a good high-school GPA. 40% of entering undergraduate students who don't graduate also had a good high-school GPA upon entering. The probability of an entering college student getting their BA if they have a good high school GPA is

Question

Mathematics

Stanley

23 October, 13:42

The prior probability that an entering undergraduate student will get their BA is 0.48. 65% of students who graduate entered with a good high-school GPA. 40% of entering undergraduate students who don't graduate also had a good high-school GPA upon entering. The probability of an entering college student getting their BA if they have a good high school GPA is

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Wilson Villa · Answer 1

0.312

Step-by-step explanation:

Probability (of an entering college student getting their BA if they have a good high school GPA) means that the entering college student will get their BA and had a good high school GPA = Probability (an entering college student will get their BA) * Probability (of students who graduate that entered with a good high school GPA) = 0.48 * 0.65 = 0.312