The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean u = 3.2 minutes and a standard deviation = 1.6 minutes. A random sample of 64 customers is observed. (a) State the central Limit theorem; (b) Find the probability that their mean time at the teller's counter is more than 3.5 minutes:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The amount of time that a
drive-through bank teller spends on a customer is a random
variable with a mean u = 3.2 minutes and a standard deviation = 1.6 minutes. A
random sample of 64 customers is observed.
(a) State the central Limit theorem;
(b) Find the probability that their mean time at the teller's counter is more than 3.5
minutes:
Note that F(1.5) = ¹.5dx=0.9332
Transcribed Image Text:The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean u = 3.2 minutes and a standard deviation = 1.6 minutes. A random sample of 64 customers is observed. (a) State the central Limit theorem; (b) Find the probability that their mean time at the teller's counter is more than 3.5 minutes: Note that F(1.5) = ¹.5dx=0.9332
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