A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 141.4 seconds. Assuming drive-through times are normally distributed with a standard deviation of 30 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 108 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 108 seconds is. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 182 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 182 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 , so it V be unusual, since the probability is V than 0.05. (Round to four decimal places as needed.)
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 141.4 seconds. Assuming drive-through times are normally distributed with a standard deviation of 30 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 108 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 108 seconds is. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 182 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 182 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 , so it V be unusual, since the probability is V than 0.05. (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 141.4 seconds. Assuming drive-through times are normally distributed with a standard deviation of 30 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 108 seconds?
The probability that a randomly selected car will get through the restaurant's drive-through in less than 108 seconds is.
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected car will spend more than 182 seconds in the restaurant's drive-through?
The probability that a randomly selected car will spend more than 182 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
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. so it
V be unusual, since the probability is
V than 0.05.
(Round to four decimal places as needed.)
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