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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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