58,57,60 T and W are mutually exclusive events that a factory will sell clothing

Question

58,57,60 T and W are mutually exclusive events that a factory will sell clothing to Target and Wal-Mart stores: P(T) not sell to Target stores: P(T) = 0.40 and P(W) = 0.25. Find the probability that the factory will (a) not sell to Target stores; (b) sell to Target stores or Wal-Mart stores; (c) not sell to Target stores or to Wal-Mart stores. The probabilities are 0.20 that a languid student will be late to class, 0.25 that the student will not understand the lecture, and 0.15 that the student will be late class and not understand the lecture. What is the probability that the student will be late to class or will not understand the lecture? If there are seven members in a club, in how many ways can they be select president, vice-president, and treasurer? The mutually exclusive probabilities are 0.25, 0.40, and 0.15 that a certain visitor to a library will utilize an encyclopedia, a dictionary, or an atlas. What is the probability that the library patron will utilize one of these reference books?

Explanation / Answer

57) a) P(not sell to Target stores) = 1- P(T)

= 1-0.4 = 0.6

b) P(sell to target store or walmart store) = 0.4+0.25 = 0.65

c) P(not sell to target store or walmart store) = 1-0.65 = 0.35

58) P(student will be late to class or will not understand the lecture) = P(student will be late) + P(student will not understand lecture) - P(student willbe late and will not understand the lecture)

= 0.2+0.25-0.15 = 0.3

60) P(patron will useone of these books) = 0.25+0.4+0.15 = 0.8

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