A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 142.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 25 seconds, complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). C (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 97 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 97 seconds is 0.0344. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 173 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 173 seconds in the restaurant's drive-through is 0.1119 (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 0.7491. (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 0.9319, so it (Round to four decimal places as needed.) would be unusual, since the probability is greater than 0.05.
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 142.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 25 seconds, complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). C (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 97 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 97 seconds is 0.0344. (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 173 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 173 seconds in the restaurant's drive-through is 0.1119 (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 0.7491. (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 0.9319, so it (Round to four decimal places as needed.) would be unusual, since the probability is greater 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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need help with part D please!!
Transcribed Image Text:A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 142.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 25 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 97 seconds?
The probability that a randomly selected car will get through the restaurant's drive-through in less than 97 seconds is **0.0344**. (Round to four decimal places as needed.)
**(b)** What is the probability that a randomly selected car will spend more than 173 seconds in the restaurant's drive-through?
The probability that a randomly selected car will spend more than 173 seconds in the restaurant's drive-through is **0.1119**. (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 **0.7491**. (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 **0.9319**, so it **would not** be unusual, since the probability is **greater** than 0.05. (Round to four decimal places as needed.)
**Links to Resources:**
- Click here to view the standard normal distribution table (page 1).
- Click here to view the standard normal distribution table (page 2).
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