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 2 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). (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 (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
icon
Related questions
Question

I need help with part C please help. 

**Study Summary:**

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.

**Resources:**

- [Click here to view the standard normal distribution table (page 1)](#)
- [Click here to view the standard normal distribution table (page 2)](#)

---

**Questions and Answers:**

**(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 **[Blank Box]**.
  (Round to four decimal places as needed.)
Transcribed Image Text:**Study Summary:** 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. **Resources:** - [Click here to view the standard normal distribution table (page 1)](#) - [Click here to view the standard normal distribution table (page 2)](#) --- **Questions and Answers:** **(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 **[Blank Box]**. (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman