SOLUTION: Just starting statistics. So I am just unsure. Question is: The probability of passing the first part of the CPA exam is 34% for Alex and 79% for Carl. The prospect of Alex's p

Algebra ->  Probability-and-statistics -> SOLUTION: Just starting statistics. So I am just unsure. Question is: The probability of passing the first part of the CPA exam is 34% for Alex and 79% for Carl. The prospect of Alex's p      Log On


   

Question 898187: Just starting statistics. So I am just unsure. Question is: The probability of passing the first part of the CPA exam is 34% for Alex and 79% for Carl. The prospect of Alex's passing the exam is completely unrelated to Carl's success of the exam.
What is the probability that both Alex and Carl pass the exam? And what is the probability that exactly one of them passes the exam, and what is the probability that at least one of them passes the exam.
Is it 56.5% that they both pass the exam? and is is 79% to each of the other 2 parts?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

both passing = .34*.79

Note: .66 and .21 are the probabilities of each failing exam

exactly one(one or the other passing-other failing) = .34*.21 + .79*.66

at least  DISABLED_event_one=  1 - (neither) = 1-.21*.66