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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.

²Ñ³¦¶Ù´Ç²Ô²¹±ô»å’s

Burger King

°Â±ð²Ô»å²â’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 food that is not from ²Ñ³¦¶Ù´Ç²Ô²¹±ô»å’s.

Short Answer

Expert verified

The probability of getting food that is not from McDonald's is equal to 0.676.

Step by step solution

01

Given information

The given data shows the number of food orders from four different outlets under two categories, accurate order and inaccurate order.

02

 Step 2: Describe probability

The probability of an event is computed using the given formula:

PE=NumberoffavorableoutcomesTotalnumberofoutcomes

Its value ranges from 0 to 1.

03

Compute the probability

The table below shows all the required subtotals and grand total for calculation of probability.

²Ñ³¦¶Ù´Ç²Ô²¹±ô»å’s

Burger King

°Â±ð²Ô»å²â’s

Taco Bell

Total

Order Accurate

329

264

249

145

987

OrderNotAccurate

33

54

31

13

131

Total

362

318

280

158

1118(N)

Let A be the event of getting food that is not from ²Ñ³¦¶Ù´Ç²Ô²¹±ô»å’s.

The total number of food orders that are not from ²Ñ³¦¶Ù´Ç²Ô²¹±ô»å’s can be denoted as m¯.

The value is computed below as:

m¯=318+280+158=756

Let the total number of orders be denoted by N.

The probability of getting food that is not from ²Ñ³¦¶Ù´Ç²Ô²¹±ô»å’s is given as:

PA=m¯N=7561118=0.676208

Therefore, the probability of getting food that is not from ²Ñ³¦¶Ù´Ç²Ô²¹±ô»å’s is 0.676.

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