Answered: probability that a delivery will take…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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A pizza delivery service delivers to the Queen Mary student village in Mile End. Delivery times follow a normal distribution with a mean of 20 minutes and a standard deviation of 4 minutes.

a) What is the probability that a delivery will take between 15 and 25 minutes?

b) The service does not charge for the pizza if delivery takes more than 30 minutes. What is the probability of getting a free pizza from a single order?

c) What is the delivery time within which 85% of all deliveries take place?

d) During the final exam, a student plans to order pizza five consecutive evenings. Assume that these delivery times are independent of each other. What is the probability that the student will get at least one free pizza?

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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