Christine has always been weak in mathematics. Based on her performance prior to
ID: 3387888 • Letter: C
Question
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 63% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 33%. There is only a 73% chance that she will find a tutor at such short notice.
What is the probability that Christine fails the course?
Christine ends up failing the course. What is the probability that she had found a tutor? (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.)
Explanation / Answer
a)
Let
T= finds tutor
F = fail
Thus,
P(F) = P(T) P(F|T) + P(T') P(F|T')
= 0.73*0.33 + (1-0.73)*0.63
= 0.411 [ANSWER]
**********************
b)
P(T|F) = P(T)P(F|T)/P(F)
= 0.73*0.33/0.411
= 0.586131387 [ANSWER]
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.