Question 2 Consider randomly selecting a student at a certain university, and le

Question

Question 2 Consider randomly selecting a student at a certain university, and let V denote the event that the selected individual has a Visa credit card and M be the analogous event for a MasterCard. Suppose that Pr(V)-0.5, Pr(M)-0.4 and Pr(V M)-0.25. a) Describe, in terms of V, M and set operations, the event that the selected student has b) Describe, in terms of V, M and set operations, the event that the selected student has c) at least one of the two types of credit cards and then calculate its probability. ¾ pt neither type of credit card and then calculate its probability. _ ¾ pt Describe, in terms of V, M and set operations, the event that the selected student has a Visa card but not a MasterCard, and then calculate its probability. -1 pt

Explanation / Answer

a) P(V U M) = P(V) + P(M) - P(V and M)

                   = 0.5 + 0.4 - 0.25

                   = 0.65

b) P(V' and M') = 1 - P(V U M)

                     = 1 - 0.65

                     = 0.35

c) P(V) - P(V and M) = 0.5 - 0.25 = 0.25

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.