4. A rnanufacturing company has two retail outlets. Suppose it is known that 42%

Question

4. A rnanufacturing company has two retail outlets. Suppose it is known that 42% of the potential customers buy products from outlet 1, and 59% buy from outlet II. Also, 17% of the potential customers buy from both outlets, while 16% buy from neither. Let A be the event that a randomly chosen potential customer buys from outlet I, and let B be the event that a randomly chosen potential customer buys from outlet II. Find the following probabilities. a) P(AUB) b) P(Be) c) P(AnB) d) P(An B)9) e) P(AU B°)

Explanation / Answer

here form above: P(A) =0.42 and P(B) =0.59 ; P(A n B) =0.17 and P(A U B)c =0.16

a)

P(A U B) =1-P(A U B)c =1-0.16 =0.84

b) P(Bc) =1-P(B) =1-0.59 =0.41

c)P(A n B) =0.17

d)P((A n B)c) =0.16 ( not from any outlet)

e) P(A U Bc) =1-(P(B)-P(A n B)) =1-(0.59-0.17)=0.58

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