Two customers enter a store. Independently, they make decisions to purchase or n

Question

Two customers enter a store. Independently, they make decisions to purchase or not to purchase. The following sketch shows how the events can occur and combine with red holding of sequence Customer 1 does not purchase and Customer 2 does not purchase The possible outcomes are shown on the right, if the event Is the number of purchases, there are 3 events: 0 purchases, 1 purchase, and 2 purchases If each of the branches on the right of the figure are equally likely, the P(1 purchase) = Which Rule applies to the sequence of independent events? Simple Multiplication Rule: P(A and B) = P(A)*P(B) Simple Addition Rule: P(A or B) = P(A) + P(B). General Addition Rule: P(A or B) = P(A) + P(B) - P(A and B) Assume the following probabilities:

Explanation / Answer

23)as if all probabilty are equally likely on right side then each one will have 0.25 probabilty

hence P(1purchase) =purcahse no purchase+no purchase purchase =0.25+0.25=0.5

24)simple multiplication rule =P(A and B) =P(A)*P(B)

25)neither purcahse 0=0.037*0.037 =0.001369

26) both purchase 2 =0.963*0.963 =0.927369

27) 1purcahse 1 =0.037*0.963+0.963*0.037=0.071262

28)as above events contain all sample space beyond which there is no possible event is there hence sum of their probability is equal to 1

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