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Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 43% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 13%. There is only a 53% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.) Probability b. Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability ________

Answer :

ajeigbeibraheem

Answer:

a) Pr.  that Christine fails the course = 0.271

b) Probability that she finds a tutor given she ends failing the course or failed  = 0.2542

Step-by-step explanation:

                            With Tutor                 Without Tutor

Fail                        13%  =  0.13                 43%   = 0.43

Find Tutor              53%   = 0.53

a) Probability that Christine fails the course =  Pr. that (she fails with tutor) × Pr. (that she fails without tutor)

Pr.  that Christine fails the course = (0.53 × 0.13) + ( 0.47 × 0.43)

Pr.  that Christine fails the course = 0.0689 + 0.2021

Pr.  that Christine fails the course = 0.271

b)

Probability that she finds a tutor given she ends failing the course or failed = [tex]\frac{0.53*0.13}{0.271}[/tex]

= 0.2542

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