In Exercises 9–20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

McDonald’s

Burger King

Wendy’s

Taco Bell

Order Accurate

329

264

249

145

OrderNotAccurate

33

54

31

13

Fast Food Drive-Thru Accuracy If one order is selected, find the probability of getting an order that is not accurate.

Short Answer

Expert verified

The probability of getting an order that is not accurate is equal to 0.117.

Step by step solution

01

Given information

The given data depicts the number of food orders from four different outlets under two categories, accurate order and inaccurate order, in a tabulated form.

02

Define probability

The probability of an event E has the following expression:

PE=NumberoffavorableoutcomesTotalnumberofoutcomes

03

Compute the probability 

The following table shows all the subtotals and the grand total.

McDonald’s

Burger King

Wendy’s

Taco Bell

Total

Order Accurate

329

264

249

145

987

Order Not Accurate

33

54

31

13

131

Total

362

318

280

158

1118

Let E be the event of getting an inaccurate food order.

The total number of inaccurate food orders is denoted by OC. The value is computed below:

OC=33+54+31+13=131

Let the total number of orders be denoted by N.

The probability of getting an inaccurate food order is calculated as shown below:

PE=OCN=1311118=0.117174

Therefore, the probability of getting a food order that is not accurate is equal to 0.117.

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