5 Consider the following outcomes for an experiment Outcome

5. Consider the following outcomes for an experiment: Outcome Probability 1 2 3 4 5 .18 .22 .10 .15 .35 Let A consists of outcomes 1, 2, 4 and B consist of outcomes 4 and 5 a. Find P(either A or B occur) 6. The demand of a certain book in a bookstore on any given day is given by the following table: y. P(Y) 0 1 2 3 4 5 6 7 0.1 0.2 0.32 0.13 0.1 0.06 0.05 0.04 Find: a. The probability that on any given day the demand is less than or equal to 2

Solution

5)

P(either A or B occur) = { P(1) + P(2) + P(4)} + {P(4) + P(5]) - P(4)

= 0.18 + 0.22 + 0.15 + 0.15 + 0.35 - 0.15

= 0.9

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6)

P(demand is less than or equal to 2) = P(y = 0) + P(y = 1) + P(y = 2)

= 0.1 + 0.2 + 0.32

= 0.62