Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Exponential distribution A statistician randomly selects n = 38 airline passengers and records how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk. (a) Complete the statement below. Enter your answer using all the decimals you can. The distribution of X? with a mean = minutes and a standard deviation σx minutes. (b) What is the probability that the average time for this sample of n = 38 airline passengers to clear security is between 32 minutes and 57 minutes? Enter your answer using all the decimals you can. (c) 97% of the time, the mean time it takes n = 38 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? Enter your answer using all the decimals you can.

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Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Exponential distribution with a μ = 42.5 minutes.
A statistician randomly selects n = 38 airline passengers and records how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk.
(a) Complete the statement below. Enter your answer using all the decimals you can.
The distribution of X ?
minutes and a standard deviation
ox
☐ minutes.
with a mean x
(b) What is the probability that the average time for this sample of n = 38 airline passengers to clear security is between 32 minutes and 57 minutes? Enter your answer using all the decimals you can.
(c) 97% of the time, the mean time it takes n = 38 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? Enter your answer using all the decimals you can.
minutes
Transcribed Image Text:Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Exponential distribution with a μ = 42.5 minutes. A statistician randomly selects n = 38 airline passengers and records how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk. (a) Complete the statement below. Enter your answer using all the decimals you can. The distribution of X ? minutes and a standard deviation ox ☐ minutes. with a mean x (b) What is the probability that the average time for this sample of n = 38 airline passengers to clear security is between 32 minutes and 57 minutes? Enter your answer using all the decimals you can. (c) 97% of the time, the mean time it takes n = 38 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? Enter your answer using all the decimals you can. minutes
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