The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean μ = 3.8 minutes and a standard deviation o=1.8 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 3.4 minutes; (b) more than 4.1 minutes; (c) at least 3.8 minutes but less than 4.0 minutes. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability that the mean time is at most 3.4 minutes is 0.0228 (Round to four decimal places as needed.) (b) The probability that the mean time is more than 4.1 minutes is 0.0668 (Round to four decimal places as needed.) (c) The probability that the mean time is between 3.8 minutes and 4.0 minutes is 0.3413 (Round to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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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 = 3.8 minutes and a standard deviation o=1.8 minutes. If a random sample of 81 customers is
observed, find the probability that their mean time at the teller's window is
(a) at most 3.4 minutes,
(b) more than 4.1 minutes:
(c) at least 3.8 minutes but less than 4.0 minutes.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(a) The probability that the mean time is at most 3.4 minutes is 0.0228
(Round to four decimal places as needed.)
(b) The probability that the mean time is more than 4.1 minutes is 0.0668
(Round to four decimal places as needed.)
(c) The probability that the mean time is between 3.8 minutes and 4.0 minutes is 0.3413
(Round to four decimal places as needed.)
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 = 3.8 minutes and a standard deviation o=1.8 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 3.4 minutes, (b) more than 4.1 minutes: (c) at least 3.8 minutes but less than 4.0 minutes. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability that the mean time is at most 3.4 minutes is 0.0228 (Round to four decimal places as needed.) (b) The probability that the mean time is more than 4.1 minutes is 0.0668 (Round to four decimal places as needed.) (c) The probability that the mean time is between 3.8 minutes and 4.0 minutes is 0.3413 (Round to four decimal places as needed.)
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