Assume the following probabilities: P(Customer makes a purchase) = 0.450 P(Custo

Question

Assume the following probabilities: P(Customer makes a purchase) = 0.450 P(Customer does not make a purchase) = 1- 0.450 Compute the P(1 purchase), and enter your answer with 3 decimal places.

P(1 purchase) = P(Customer 1 purchases and Customer 2 does not, or Customer 1 does not purchase and Customer 2 does)= P(Customer 1 purchases and Customer 2 does not) + P(Customer 1 does not purchase and Customer 2 does)= P(Customer 1 purchases) x P(Customer 2 does not) + P(Customer 1 does not purchase) x P(Customer 2 does)= 2 x P(Customer purchases) x P(Customer does not). Alternate: 1 - P(0 purchases) - P(2 purchases)

Explanation / Answer

P(1 Purchase) = 2 x P(Customer purchases) x P(Customer does not) = 2*0.45*0.55 = 0.495

OR

P(1 purchase) = 1 - P(0 purchases) - P(2 purchases)
= 1 - 0.550*0.550 - 0.450*0.450 = 1 - 0.3025 - 0.2025 = 0.495

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