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In Exercises 9鈥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.

惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

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 from 惭肠顿辞苍补濒诲鈥檚 or 奥别苍诲测鈥檚 or an order that is not accurate.

Short Answer

Expert verified

The probability of getting an order from 惭肠顿辞苍补濒诲鈥檚 or 奥别苍诲测鈥檚 or an inaccurate order is equal to 0.634.

Step by step solution

01

Given information

The number of food orders at drive-thru centres of four fast-food chains are provided.

Some orders are accurate, while others are inaccurate.

02

Addition Rule of Probability

For three events, A, B, and C, to either occur individually or together, the following probability is calculated:

PAorBorC=PA+PB+PC-PAandB-PAandC-PBandC

03

Calculation

The subtotals for each chain are tabulated below:

惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

Taco Bell

Totals

Order Accurate

329

264

249

145

987

OrderNotAccurate

33

54

31

13

131

Totals

362

318

280

158

1118

The total number of food orders is equal to 1118.

Let E be the event of selecting a food order from 惭肠顿辞苍补濒诲鈥檚.

Let F be the event of selecting a food order from 奥别苍诲测鈥檚.

Let G be the event of selecting an inaccurate food order.

The number of food orders from 惭肠顿辞苍补濒诲鈥檚 is equal to 362.

The probability of selecting a food order from 惭肠顿辞苍补濒诲鈥檚,

PE=3621118

.

The number of food orders from 奥别苍诲测鈥檚 is equal to 280.

The probability of selecting a food order from 奥别苍诲测鈥檚,

PF=2801118

The number of inaccurate food orders is equal to 131.

The probability of selecting an inaccurate food order,

PG=1311118

The number of orders from 惭肠顿辞苍补濒诲鈥檚 and 奥别苍诲测鈥檚 is equal to 0. Thus,

PEandF=01118

The number of inaccurate orders from 惭肠顿辞苍补濒诲鈥檚 is equal to 33. Thus,

PEandG=331118

The number of inaccurate orders from 奥别苍诲测鈥檚 is equal to 31. Thus,

PFandG=311118

The probability of getting an order from 惭肠顿辞苍补濒诲鈥檚 or 奥别苍诲测鈥檚 or an inaccurate order is calculated as follows:

PEorForG=PE+PF+PG-PEandF-PEandG-PFandG=3621118+2801118+1311118-01118-331118-311118=7091118=0.6342

Therefore, the probability of getting an order from 惭肠顿辞苍补濒诲鈥檚 or 奥别苍诲测鈥檚 or an inaccurate order is equal to 0.634.

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Most popular questions from this chapter

In Exercises 9鈥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.

惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

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 from 惭肠顿辞苍补濒诲鈥檚 or an order that is accurate. Are the events of selecting an order from 惭肠顿辞苍补濒诲鈥檚 and selecting an accurate order disjoint events?

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