Question 1

A cell phone salesperson has kept records on the customers who visited his store. Forty percent of the customers who visited the store were female. Furthermore, the data show that 35% of the females who visited his store purchased a cell phone, while 20% of the males who visited his store purchased a cell phone. Let A₁ represent the event that a customer is a female, A₂ represent the event that a customer is a male, and B represent the event that a customer will purchase a phone. What is the probability that a female customer will purchase a cell phone?

Accepted Answer

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Question 2

Draw a Venn diagram showing the probability for two mutually exclusive events and also draw a Venn diagram showing the probability for two events that are not mutually exclusive. Explain the difference in the two diagrams.

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Question 3

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow:  What is the probability that orange is the favorite color, given that the person's age is less than 21?

Accepted Answer

The answer of A company set up a kiosk in...

Question 4

In a study of student preference of energy drinks, the researcher has identified a population of 10 students. To get a quick result, the researcher will select a sample of two students. How many different samples are possible?

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The answer of In a study of student preference of...

Question 5

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow:  What is the probability that red is the favorite color, given that the person's age is 21 or older?

Accepted Answer

The answer of A company set up a kiosk in...

Question 6

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow:  What is the probability that black is the favorite color, given that the person's age is 21 or older?

Accepted Answer

The answer of A company set up a kiosk in...

Question 7

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow:  What is the probability that black or orange are the favorite colors?

Accepted Answer

The answer of A company set up a kiosk in...

Question 8

A cell phone salesperson has kept records on the customers who visited his store. Forty percent of the customers who visited the store were female. Furthermore, the data show that 35% of the females who visited his store purchased a cell phone, while 20% of the males who visited his store purchased a cell phone. Let A₁ represent the event that a customer is a female, A₂ represent the event that a customer is a male, and B represent the event that a customer will purchase a phone. What is the probability that a male customer will purchase a cell phone?

Accepted Answer

The answer of A cell phone salesperson has kept records...

Question 9

Compare and contrast the classical, empirical, and subjective approaches to assigning probabilities.

Accepted Answer

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Question 10

A student organization of 10 wants to select a president, a vice-president, and a treasurer. How many different leadership assignments are possible?

Accepted Answer

The answer of A student organization of 10 wants to...

Question 11

When are two outcomes independent? Explain in terms of the rules of probability.
A. In other words, the probability of A is unaffected by
B.

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Question 12

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow:  What is the probability that black, lime, or orange are the favorite colors, given that the person's age is 21 or older?

Accepted Answer

The answer of A company set up a kiosk in...

Question 13

Dice are used in a variety of games. A die is a six-sided cube with a number of dots on each side. The number of dots ranges from one to six. If two die are used in a game, how many outcomes are possible?

Accepted Answer

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Question 14

What is the difference between a permutation and a combination?

Accepted Answer

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Quiz 5: A Survey of Probability Concepts

Draw a Venn diagram showing the probability for two mutually exclusive events and also draw a Venn diagram showing the probability for two events that are not mutually exclusive. Explain the difference in the two diagrams.

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow: What is the probability that orange is the favorite color, given that the person's age is less than 21?

In a study of student preference of energy drinks, the researcher has identified a population of 10 students. To get a quick result, the researcher will select a sample of two students. How many different samples are possible?

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow: What is the probability that red is the favorite color, given that the person's age is 21 or older?

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow: What is the probability that black is the favorite color, given that the person's age is 21 or older?

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow: What is the probability that black or orange are the favorite colors?

Compare and contrast the classical, empirical, and subjective approaches to assigning probabilities.

A student organization of 10 wants to select a president, a vice-president, and a treasurer. How many different leadership assignments are possible?

When are two outcomes independent? Explain in terms of the rules of probability. A. In other words, the probability of A is unaffected by B.

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow: What is the probability that black, lime, or orange are the favorite colors, given that the person's age is 21 or older?

Dice are used in a variety of games. A die is a six-sided cube with a number of dots on each side. The number of dots ranges from one to six. If two die are used in a game, how many outcomes are possible?

What is the difference between a permutation and a combination?