Question

Automatic garage door openers either are operated using a chain or a screw mechanism. Assume a...

Automatic garage door openers either are operated using a chain or a screw mechanism.

Assume a local Ace Hardware store offers both varieties. Of all their sales, 70% have the

chain mechanism. Assume in a single day, 15 garage door openers are sold.

a) What is the probability that at least 10 garage door openers with the chain

mechanism are sold of these 15? (10 points)

b) What is the probability that 6 to 10 garage door openers with the chain mechanism

are sold, of the 15 sold in this day (include 6 and 10 in your answer). (10 points)

c) What is the expected number of garage door openers with the chain mechanism sold

on this day? (10 points)

d) What is the probability that the expected number of garage door openers with the

chain mechanism is sold on this day? (10 points)

e) What is the variance of the number of garage door openers sold with the chain

mechanism on this day? (10 points)

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