Question

Of all customers purchasing automatic garage-door openers, 60% purchase a chain-driven model. Let X = the...

Of all customers purchasing automatic garage-door openers, 60% purchase a chain-driven model. Let X = the number among the next 15 purchasers who select the chain-driven model.

(a)

What is the pmf of X?

b(x; 15, 0.6)

b(x; 15, 0.4)

    

nb(x; 15, 0.6)

nb(x; 15, 0.4)

h(x; 9, 15, 60)

h(x; 6, 15, 60)

(b)

Compute

P(X > 10).

(Round your answer to three decimal places.)

c)

Compute

P(7 ≤ X ≤ 10).

(Round your answer to three decimal places.)

d)

Compute μ and σ2.

(e)

If the store currently has in stock 10 chain-driven models and 8 shaft-driven models, what is the probability that the requests of these 15 customers can all be met from existing stock? (Round your answer to three decimal places.

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