A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 24 seconds, complete parts (a) through (d) below. ▪▪▪ The probability that a randomly selected car will get through the restaurant's drive-through in less than 111 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 177 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 177 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 (Round to four decimal places as needed.) so it be unusual, since the probability is than 0.05.
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 24 seconds, complete parts (a) through (d) below. ▪▪▪ The probability that a randomly selected car will get through the restaurant's drive-through in less than 111 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 177 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 177 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 (Round to four decimal places as needed.) so it be unusual, since the probability is than 0.05.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 137.6 seconds. Assuming drive-through times are normally distributed
with a standard deviation of 24 seconds, complete parts (a) through (d) below.
The probability that a randomly selected car will get through the restaurant's drive-through in less than 111 seconds is
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected car will spend more than 177 seconds in the restaurant's drive-through?
...
The probability that a randomly selected car will spend more than 177 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
(Round to four decimal places as needed.)
-
||
✓
so it
V
be unusual, since the probability is
would
than 0.05.
X
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VIEWStep 4: (c) Find the proportion of car spend between 2 and 3 minutes in the restaurant's drive-through:
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