1. > 1/9 points | Previous Answers IMy Notes o Ask Your Teache Sue and Ann are t
ID: 3359021 • Letter: 1
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1. > 1/9 points | Previous Answers IMy Notes o Ask Your Teache Sue and Ann are taking the same English class and decide to study together. The probability that Sue makes an A in English is 0.49 and the probability that Ann makes an A is 0.3. The probability they both make A's is 0.25. (a) Are the events "Ann passes" and "Sue passes" independent events? no Are the events "Ann passes" and "Sue passes" mutually exclusive events? no (b) What is the probability that Sue makes an A but Ann doesn't? (c) What is the probability neither girl makes an A? (d) If Sue makes an A, what then is the conditional probability that Ann will also make an A? (e) If Ann makes an A, what then is the conditional probability that Sue will not make an A?Explanation / Answer
b) P(Sue makes A but Ann doesn't)
= 0.49 - 0.25
= 0.24
c) P(Neither girl makes A)
= 1 - P(At least one makes A)
= 1 - [0.49 + 0.3 - 0.25]
= 0.46
d) P(Ann makes A| Sue makes A) = 0.25/0.3 = 5/6
e) P(Sue will not make A| Ann makes A)
= 1 - P(Sue makes A| Ann makes A)
= 1 - 0.25/0.49
= 24/49
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