Problem 3. (1 point) 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 Expo- nential distribution with a u= 44.5 minutes. A statistician randomly selects n = 42 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 • ? ⚫is approximately Normal is exactly Normal ⚫is skewed to the right ⚫ is Exponential ⚫ is Poisson ⚫ has an unknown shape with a mean μx = minutes. minutes and a standard deviation σx = (b) What is the probability that the average time for this sample of n = 42 airline passengers to clear security is between 30 minutes and 61 minutes? Enter your answer using all the decimals you can. (c) 99% of the time, the mean time it takes n = 42 airline pas- sengers 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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Problem 3. (1 point)
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 Expo-
nential distribution with a u= 44.5 minutes.
A statistician randomly selects n = 42 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
• ?
⚫is approximately Normal
is exactly Normal
⚫is skewed to the right
⚫ is Exponential
⚫ is Poisson
⚫ has an unknown shape
with a mean μx =
minutes.
minutes and a standard deviation σx =
(b) What is the probability that the average time for this sample of
n = 42 airline passengers to clear security is between 30 minutes
and 61 minutes? Enter your answer using all the decimals you can.
(c) 99% of the time, the mean time it takes n = 42 airline pas-
sengers 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:Problem 3. (1 point) 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 Expo- nential distribution with a u= 44.5 minutes. A statistician randomly selects n = 42 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 • ? ⚫is approximately Normal is exactly Normal ⚫is skewed to the right ⚫ is Exponential ⚫ is Poisson ⚫ has an unknown shape with a mean μx = minutes. minutes and a standard deviation σx = (b) What is the probability that the average time for this sample of n = 42 airline passengers to clear security is between 30 minutes and 61 minutes? Enter your answer using all the decimals you can. (c) 99% of the time, the mean time it takes n = 42 airline pas- sengers 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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