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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