2. The probability of a telesales representative making a sale on a customer call is 0.15. Find the probability that no sales are made in 10 calls. (a) (3 marks) more than one sales are made in 20 ca...

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2. The probability of a telesales representative making a sale on a customer call is 0.15. Find the probability that no sales

math Statistics-And-Probability

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Answer 1

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Answer #1

Let N denote the number of sales made.
a.
P(N=0) = ¹⁰C₀(0.15)⁰(0.85)¹⁰ = 0.19687
b.
P(N > 1) = 1 - P(N=0) - P(N=1)
P(N=0) = ²⁰C₀(0.15)⁰(0.85)²⁰ = 0.03876
P(N=1) = ²⁰C₁(0.15)¹(0.85)¹⁹ = 0.1368
P(N > 1) = 1 - 0.03876 - 0.1368 = 0.82444

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