The amount of time that a drive-through bank teller spends on a costumer is a random variable with a mean μ = 3.2 minutes and a standard deviation σ = 1.6 minutes. If a random sample of 64 customers is observed, find the probability that their mean time at the teller’s window is: a. At most 2.7 minutes. b. More than 3.5 minutes. c. At least 3.2 minutes but less than 3.4 minutes.

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The amount of time that a drive-through bank teller spends on a costumer is a random variable
with a mean μ = 3.2 minutes and a standard deviation σ = 1.6 minutes. If a random sample of 64
customers is observed, find the probability that their mean time at the teller’s window is:


a. At most 2.7 minutes.
b. More than 3.5 minutes.
c. At least 3.2 minutes but less than 3.4 minutes.

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