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In: Statistics and Probability

1. (15pts) The length of time it takes to get through the security checks at a...

1. (15pts) The length of time it takes to get through the security checks at a very large urban airport is a random variable with mean μ = 20.6 minutes and standard deviation σ = 8.4 minutes. A simple random sample of 36 airline passengers is to be observed going through security.

̄

a) What is the sampling distribution of the sample mean X? (Specify the distribution,mean μX ̄ and standard deviation σX ̄ of the sampling distribution of X) (8pts)

(b) For the passengers in the SRS, what is the approximate probability that the mean length of time for them to get through security will be less than 15 minutes? (7pts)

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Expert Solution

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POD page@ PC (-4) +382 contained gg.7% of t. values by 3 point W-32=-3 :P(-32143) = 0.997 :. P(Z2-4)=0 to poobability of the mean dength get secusity will be less than time for them is minuters is zero.

orchestra answered 2 years ago
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