Question

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. (TABLE CANNOT COPY) Fast Food Drive-Thru Accuracy If one order is selected, find the probability of getting an order that is not accurate or is from Wendy's. Are the events of selecting an order that is not accurate and selecting an order from Wendy's disjoint events?

Name: Problem 12, Chapter 4: Elementary Statistics
Uploaded: 2020-10-12T09:48:39-08:00
Duration: 55 s
Channel: Harsh Gadhiya

   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.
(TABLE CANNOT COPY)
Fast Food Drive-Thru Accuracy If one order is selected, find the probability of getting an order that is not accurate or is from Wendy's. Are the events of selecting an order that is not accurate and selecting an order from Wendy's disjoint events?

Elementary Statistics

Mario F. Triola 13th Edition

Chapter 4, Problem 12

Instant Answer

Solved by Expert Harsh Gadhiya

10/12/2020

Step 1

This is done by adding up the number of inaccurate orders from all the fast food chains. Let's denote this sum as $A$. Show more…

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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. (TABLE CANNOT COPY) Fast Food Drive-Thru Accuracy If one order is selected, find the probability of getting an order that is not accurate or is from Wendy's. Are the events of selecting an order that is not accurate and selecting an order from Wendy's disjoint events?

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Key Concepts

Probability of Union of Events

This concept involves calculating the probability that at least one of several events occurs using the formula P(A ? B) = P(A) + P(B) - P(A ? B). It ensures that any overlap between events (where both occur simultaneously) is not counted twice, providing a correct measure for the combined probability of non-mutually exclusive events.

Disjoint Events

Disjoint events, also known as mutually exclusive events, are events that cannot occur at the same time. This means that if one event occurs, the other cannot occur, and mathematically, their intersection is zero. Recognizing disjoint events is essential when applying the addition rule in probability, as the formula simplifies to P(A ? B) = P(A) + P(B) if the events are disjoint.

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