A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 146.9 seconds. Assuming drive-through times are normally distributed with a standard deviation of 31 seconds, complete parts (a) through (d) below. C (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through is (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is is than 0.05. (Round to four decimal places as needed.) so it be unusual, since the probability

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 146.9 seconds. Assuming
drive-through times are normally distributed with a standard deviation of 31 seconds, complete parts (a) through (d) below.
(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds?
The probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds is.
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through?
The probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through is
(Round to four decimal places as needed.)
(c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through?
The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is
(Round to four decimal places as needed.)
(d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why?
The probability that a car spends more than 3 minutes in the restaurant's drive-through is
▼than 0.05.
(Round to four decimal places as needed.)
so it
be unusual, since the probability
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Transcribed Image Text:A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 146.9 seconds. Assuming drive-through times are normally distributed with a standard deviation of 31 seconds, complete parts (a) through (d) below. (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 92 seconds is. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through is (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is ▼than 0.05. (Round to four decimal places as needed.) so it be unusual, since the probability Time Remaining: 02:53:14 Next
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