(17) Christine has always been weak in mathematics. Based on her performance pri

Question

(17)

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 39% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 9%. There is only a 49% chance that she will find a tutor at such short notice.

What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)

Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.)

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 39% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 9%. There is only a 49% chance that she will find a tutor at such short notice.

Explanation / Answer

A.) 75.7000% pass rate overall.

49% getting a tutor * 91% pass rate = 44.59%

51% not getting a tutor * 61% pass rate = 31.11%

So a 75.7% pass rate overall.

B.) 22.1719% of not getting a tutor

49% getting a tutor * 9% fail rate = 4.41%

51% not getting a tutor * 39% fail rate = 19.89%

4.41 / 19.89 = 22.1719% of not getting a tutor

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