Please help !!! 4. +,-4 points DevoreStat92E501XP My Notes O Ask Your Teacl Cons

Question

Please help !!! 4. +,-4 points DevoreStat92E501XP My Notes O Ask Your Teacl Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard. Suppose that P(A) - 0.2, P(B) 0.6, and PIA n B) 0.15. (a) Compute the probability that the selected individual has at least one of the two types of cards (i.e., the probability of the event A U B). (b) What is the probability that the selected individual has neither type of card? (c) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard. OA'UB AUB Calculate the probability of this event

Explanation / Answer

a) P(A U B) = 0.2 + 0.6 - 0.15 = 0.65

b) P(Neither type of card) = 1 - P(A U B) = 1 - 0.65 = 0.35

c) Option A is correct.

d) Probability of this event = 0.2 - 0.15 = 0.05

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