Mathematics, 19.02.2020 23:02 sandy2597
Return to the credit card scenario of Exercise 12 (Section 2.2), and let C be the event that the selected student has an American Express card. In addition to P(A) = .6, P(B) = .4, and P(A n B) = .3, suppose that P(C) = .2, P(A n C) = .15, P(B n C) = .1, and P(A n B n C) = .08.
A. What is the probability that the selected student has at least one of the three types of cards?
B. What is the probability that the selected student has both a Visa card and a MasterCard but not an American Express card?
C. Calculate and interpret P(B | A) and also P(A | B).
D. If we learn that the selected student has an American Express card, what is the probability that she or he also has both a Visa card and a MasterCard?
E. Given that the selected student has an American Express card, what is the probability that she or he has at least one of the other two types of cards?
Answers: 1
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Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?
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Return to the credit card scenario of Exercise 12 (Section 2.2), and let C be the event that the sel...
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