Accuracy in taking orders at drive-through window is important for fast food restaurants. Periodically, The Star newspaper publishes “The Drive-Thru Performance Study: Order Accuracy” that measures the percentage of orders that are filled correctly. In January 2021, the percentage of orders filled correctly at Mc Donald’s was approximately 79.6%. Suppose that you go to the drive-through window at Mc Donald’s and place an order. 4 friends of yours independently place orders at the drive-through window at the same Mc Donald’s. Compute the probabilities that a. All five of the orders will be filled correctly b. None of the orders will be filled correctly. c. At least 4 of the orders will be filled correctly. d. Compute the mean and standard deviation of the binomial distribution for the number of orders filled correctly.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Accuracy in taking orders at drive-through window is important for fast food restaurants. Periodically, The Star newspaper publishes “The Drive-Thru Performance Study: Order Accuracy” that measures the percentage of orders that are filled correctly. In January 2021, the percentage of orders filled correctly at Mc Donald’s was approximately 79.6%. Suppose that you go to the drive-through window at Mc Donald’s and place an order. 4 friends of yours independently place orders at the drive-through window at the same Mc Donald’s. Compute the probabilities that

a. All five of the orders will be filled correctly

b. None of the orders will be filled correctly.

c. At least 4 of the orders will be filled correctly.

d. Compute the mean and standard deviation of the binomial distribution for the number of orders filled correctly.

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