Explanation Given info: The table shows the results from the ‘order accuracy at popular fast food chains’, in which McDonalds receives 329 accurate orders and 33 not accurate orders, Burger King receives 264 accurate orders and 54 not accurate orders, Wendy’s receives 249 accurate orders and 31 not accurate orders, and Taco Bell receives 145 accurate orders and 13 not accurate orders. Calculation: The total number of orders for each popular fast food chains is obtained as shown in Table (1). 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 1,118 Table (1) Let event A denote getting food order from McDonald's and B denote getting food order from Burger King. Probability : The formula for probability of event A is, P ( A ) = Number of ways event A occurs Number of simple events Substitute 362 for ‘Number of ways of event A occurs’ and 1,118 for ‘Number of simple events’ P ( A ) = 362 1 , 118 = 0.3238 The formula for probability of event B is, P ( B ) = Number of ways event B occurs Number of simple events Substitute 318 for ‘Number of ways of event B occurs’ and 1,118 for ‘Number of simple events’ P ( B ) = 318 1 , 118 = 0.2844 The formula for probability of event A and B is, P ( A and B ) = Number of ways event A and B occurs Number of simple events Substitute 0 for ‘Number of ways of event A and B occurs’ and 1,118 for ‘Number of simple events’ There is no common order in the event A andevent B. Addition Rule : The formula for probability of getting event A or event B is, P ( A or B ) = P ( A ) + P ( B ) − P ( A and B ) Substitute 0.3238 for ‘ P ( A ) ’, 0.2844 for ‘ P ( B ) ’ and 0 for ‘ P ( A and B ) ’ P ( A or B ) = 0.3238 + 0.2844 − 0 = 0.6082 Complementary probability: The formula for probability of complement of event A or B is, P ( A or B ¯ ) = 1 − P ( A or B ) Substitute 0

Elementary Statistics Using Excel (6th Edition)

6th Edition

ISBN: 9780134506623

Author: Mario F. Triola

Publisher: PEARSON

See similar textbooks

Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

Videos

Question

Chapter 4.2, Problem 34BB

To determine

To find: The values of P(A or B¯) and P(A¯ or B¯) .

To compare: Whether the results, that is, P(A or B¯) and P(A¯ or B¯) are equal or not.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.2, Problem 33BB

Chapter 4.3, Problem 1BSC

Students have asked these similar questions

I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)

This exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainz

Chapter 4 Solutions

Elementary Statistics Using Excel (6th Edition)

Ch. 4.1 - 1. New Jersey Lottery Let A denote the event of...Ch. 4.1 - 2. Probability Rewrite the following statement so...Ch. 4.1 - 3. Interpreting Weather While this exercise was...Ch. 4.1 - 4. Subjective Probability Estimate the probability...Ch. 4.1 - 5. Identifying Probability Values Which of the...Ch. 4.1 - 6. Penicillin “Who discovered penicillin: Sean...Ch. 4.1 - 7. Avogadro Constant If you are asked on a quiz to...Ch. 4.1 - 8. Births Example 2 in this section includes the...Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 9-12, assume that 50 births are...

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

The values of P ( A or B ¯ ) and P ( A ¯ or B ¯ ) . To compare: Whether the results, that is, P ( A or B ¯ ) and P ( A ¯ or B ¯ ) are equal or not.

Concept explainers

Videos

To find: The values of P(A or B¯) and P(A¯ or B¯) . To compare: Whether the results, that is, P(A or B¯) and P(A¯ or B¯) are equal or not.

Want to see the full answer?

Chapter 4 Solutions

To find: The values of P(A or B¯) and P(A¯ or B¯) .

To compare: Whether the results, that is, P(A or B¯) and P(A¯ or B¯) are equal or not.