A fast-food restaurant takes orders by phone and then prepares the food. The time required to process the phone orders is normally distributed with a mean of 5 minutes and a standard deviation of 1.5 minutes. The time it takes to get the food ready is normally distributed with a mean of 18 minutes and a standard deviation of 5.2 minutes. a. What is the mean for the total time to process a phone order and get the food ready at this restaurant? b. What is the standard deviation for the total time to process a phone order and get the food ready at this restaurant? c. What is the probability that this restaurant takes a total of less than 20 minutes to complete an order?

A fast-food restaurant takes orders by phone and then prepares the food. The time required to process the phone orders is normally distributed with a mean of 5 minutes and a standard deviation of 1.5 minutes. The time it takes to get the food ready is normally distributed with a mean of 18 minutes and a standard deviation of 5.2 minutes. a. What is the mean for the total time to process a phone order and get the food ready at this restaurant? b. What is the standard deviation for the total time to process a phone order and get the food ready at this restaurant? c. What is the probability that this restaurant takes a total of less than 20 minutes to complete an order?

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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Question

a. What is the mean for the total time to process a phone order and get the food ready at this restaurant?

b. What is the standard deviation for the total time to process a phone order and get the food ready at this restaurant?

c. What is the probability that this restaurant takes a total of less than 20 minutes to complete an order?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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