The waiting time a customer spends in the airport luggage check-in is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n= 40 customers were observed. Find the probability that the average waiting time in queue for customers is less than 8 minutes. Would the probability change if airport management further shortens the queuing time of customer less 7.5 minutes? Explain and include your solutions. a. Probability is about 20%. Probability would decrease if queuing time were shortened b. Probability is about 20%. Probability will not change even if queuing time is reduced c. Probability will change if the queuing time is improved to less 7.5 minutes d. NONE

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The waiting time a customer spends in the airport luggage check-in is a random variable with mean
8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 40 customers
were observed. Find the probability that the average waiting time in queue for customers is less than
8 minutes. Would the probability change if airport management further shortens the queuing time of
customer less 7.5 minutes? Explain and include your solutions.
a. Probability is about 20%. Probability would decrease if queuing time were shortened
b. Probability is about 20%. Probability will not change even if queuing time is reduced
c. Probability will change if the queuing time is improved to less 7.5 minutes
d. NONE
Transcribed Image Text:The waiting time a customer spends in the airport luggage check-in is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 40 customers were observed. Find the probability that the average waiting time in queue for customers is less than 8 minutes. Would the probability change if airport management further shortens the queuing time of customer less 7.5 minutes? Explain and include your solutions. a. Probability is about 20%. Probability would decrease if queuing time were shortened b. Probability is about 20%. Probability will not change even if queuing time is reduced c. Probability will change if the queuing time is improved to less 7.5 minutes d. NONE
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