Question 1

The ____________________ of two events A and B is the event that occurs when either A or B or both occur.

Accepted Answer

The answer of The ____________________ of two events A and...

Question 2

Tea and Seltzer
Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both.
-{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult drinks seltzer or tea or both?

Accepted Answer

The answer of Tea and Seltzer
Suppose 55 percent of adults...

Question 3

Business Majors
Suppose 30% of business majors major in accounting.You take a random sample of 3 business majors.
-{Business Majors Narrative} What is the chance that they all major in accounting?

Accepted Answer

The answer of Business Majors
Suppose 30% of business majors major...

Question 4

Cars
Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below.
 
-{Cars Narrative} Suppose you choose two families at random.What is the chance that they each own one car? (That means family A owns a car and family B owns a car.)
A) 0.23
B) 0.23 + 0.23 = 0.46
C) 0.23 + 0.23 - (0.23)*(0.23) = .4071
D) (0.23)*(0.23) = 0.0529

Accepted Answer

The probability that one family owns one car is 0.23. Since the families are chosen at random and with replacement, the probability of the second family also owning one car is also 0.23.
The probability of both events happening (independent events) is the product of the individual probabilities, which is (0.23)*(0.23) = 0.0529. Therefore, the answer is D.

Question 5

Club Members
A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.
-{Club Members Narrative} What is the probability that a club member owns a car or a house, or both?

Accepted Answer

The answer of Club Members
A survey of a club's members...

Question 6

If A and B are mutually exclusive, their joint probability is ____________________.

Accepted Answer

The answer of If A and B are mutually exclusive,...

Question 7

The probability of an intersection of two events is called a(n) ____________________ probability.

Accepted Answer

The answer of The probability of an intersection of two...

Question 8

If P(A) = 0.25 and P(B) = 0.65, then P(A and B) is:
A) 0.25
B) 0.40
C) 0.90
D) cannot be determined from the information given

Accepted Answer

The answer of If P(A) = 0.25 and P(B) =...

Question 9

Cars
Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below.
 
-{Car Narrative}What is the chance that a family owns more than one car?
A) 0.23
B) 0.21
C) 0.44
D) None of these choices.

Accepted Answer

The answer of Cars
Suppose X = the number of cars...

Question 10

Tea and Seltzer
Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both.
-{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult does not drink seltzer?

Accepted Answer

The answer of Tea and Seltzer
Suppose 55 percent of adults...

Question 11

Club Members
A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.
-{Club Members Narrative} What is the probability that a subscriber owns both a car and a house?

Accepted Answer

The answer of Club Members
A survey of a club's members...

Question 12

If A and B are independent, then P(A|B) = ____________________.

Accepted Answer

The answer of If A and B are independent, then...

Question 13

A conditional probability of A given B is written in probability notation as ____________________.

Accepted Answer

The answer of A conditional probability of A given B...

Question 14

Tea and Seltzer
Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both.
-{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult doesn't drink tea or seltzer?

Accepted Answer

The answer of Tea and Seltzer
Suppose 55 percent of adults...

Question 15

P(A|B) is the conditional probability of ____________________ given ____________________.

Accepted Answer

The answer of P(A|B) is the conditional probability of ____________________...

Question 16

If P(A|B) = P(A) then events A and B are ____________________.

Accepted Answer

The answer of If P(A|B) = P(A) then events A...

Question 17

Suppose two events A and B are related.The ____________________ probability of A is the probability that A occurs, regardless of whether event B occurred or not.

Accepted Answer

The answer of Suppose two events A and B are...

Question 18

Club Members
A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.
-{Club Members Narrative} What is the probability that a club member owns neither a car nor a house?

Accepted Answer

The answer of Club Members
A survey of a club's members...

Question 19

If two events are mutually exclusive, their joint probability is ____________________.

Accepted Answer

The answer of If two events are mutually exclusive, their...

Question 20

The ____________________ of events A and B is the event that occurs when both A and B occur.

Accepted Answer

The answer of The ____________________ of events A and B...

Quiz 6: Probability

The ____________________ of two events A and B is the event that occurs when either A or B or both occur.

Tea and Seltzer Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both. -{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult drinks seltzer or tea or both?

Business Majors Suppose 30% of business majors major in accounting.You take a random sample of 3 business majors. -{Business Majors Narrative} What is the chance that they all major in accounting?

Cars Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below. -{Cars Narrative} Suppose you choose two families at random.What is the chance that they each own one car? (That means family A owns a car and family B owns a car.)

Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a club member owns a car or a house, or both?

If A and B are mutually exclusive, their joint probability is ____________________.

The probability of an intersection of two events is called a(n) ____________________ probability.

If P(A) = 0.25 and P(B) = 0.65, then P(A and B) is:

Cars Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below. -{Car Narrative}What is the chance that a family owns more than one car?

Tea and Seltzer Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both. -{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult does not drink seltzer?

Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a subscriber owns both a car and a house?

If A and B are independent, then P(A|B) = ____________________.

A conditional probability of A given B is written in probability notation as ____________________.

Tea and Seltzer Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both. -{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult doesn't drink tea or seltzer?

P(A|B) is the conditional probability of given .

If P(A|B) = P(A) then events A and B are ____________________.

Suppose two events A and B are related.The ____________________ probability of A is the probability that A occurs, regardless of whether event B occurred or not.

Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a club member owns neither a car nor a house?

If two events are mutually exclusive, their joint probability is ____________________.

The ____________________ of events A and B is the event that occurs when both A and B occur.