6.21 The regional manager in exercise6.10 plans to evaluate the speed of service
ID: 2915889 • Letter: 6
Question
6.21
The regional manager in exercise6.10 plans to evaluate the speed of service at five localfranchises of the restaurant. For five servers, determine theprobability that:
6.10 states a regional managervisits local fast food franchises and evaluates the speed of theservice. If the manager receives her meal with 45 seconds, theserver is given a free movie admission coupon. If it takes morethan 45 seconds the server receives nothing. Throughout thecompany’s franchises, the probability is 0.60 that a mealwill be served with in 45 seconds. What is the expected number ofcoupons a counter employee will receive when serving the regionalmanager?
Explanation / Answer
This is a binomial distribution with p = .6 and n = 5. P(X = x) = C(n, x) * p^x * (1-p)^(n-x) P(X = x) = C(5, x) * .6^x * .4^(5-x) P(0) = .01024 P(1) = .0768 P(2) = .2304 P(3) = .3456 P(4) = .2592 P(5) = .07776
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