Question 1

If P(A ∩B)= 1,then A and B must be collectively exhaustive.

Accepted Answer

A) True 
 B)False

Question 2

Let event A be that there are more than two defects and let event B be that there are four or fewer defects.Which of the following statements is true?

Accepted Answer

A) P(A ∩
B) = 0.18 
B) P(A∪
B) =0.07 
C) P(  )= 0.58 
D) P(  )= 0.89

Question 3

If either event A or event B must occur,they are called collectively exhaustive.

Accepted Answer

A) True 
 B)False

Question 4

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A table of joint probabilities is shown below,regarding the instructors at the University of Michigan,where the events AS1U1B1iS1U1B0(i = 1,2,3)and BS1U1B1jS1U1B0 (j = 1,2)are defined as follows: AS1U1B11S1U1B0 = Full professor,AS1U1B12S1U1B0 = Associate professor,AS1U1B13S1U1B0 = Assistant professor,BS1U1B11S1U1B0 = Male instructor,and BS1U1B12S1U1B0 = Female instructor. -Calculate P(A₁ ∣ B₂).

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 5

Express the event "A ∪ B" in words

Accepted Answer

The answer of Express the event "A ∪ B" in...

Question 6

Which of the following best describes the multiplication rule of probabilities?

Accepted Answer

A)   
B)   
C)   
D)

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The joint probabilities shown in a table with two rows,AS1U1B11S1U1B0 and AS1U1B12S1U1B0,and two columns,BS1U1B11S1U1B0 and BS1U1B12S1U1B0 are as follows: P(AS1U1B11S1U1B0 ∩ BS1U1B11S1U1B0)= 0.10,P(AS1U1B11S1U1B0 ∩ BS1U1B12S1U1B0)= 0.30,P(AS1U1B12S1U1B0 ∩ BS1U1B11S1U1B0)= 0.05,P(AS1U1B12S1U1B0 ∩ BS1U1B12S1U1B0)= 0.55
-What is P(A2 |B2),rounded to two decimals?

Accepted Answer

A) 0.33 
B) 0.35 
C) 0.65 
D) 0.67

Question 8

The application which provides a way of revising conditional probabilities by using available information and provisions for revising conditional probabilities with other information that is useful for management decision making is called:

Accepted Answer

A) overinvolvement ratios. 
B) Bayes' theorem. 
C) empirical formula. 
D) probability rules.

Question 9

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent survey examined the working arrangements of married households.It was found that 88% of the households had at least one working member.In 20% of the households with the woman not working,the man also does not work.In 40% of households in which the man doesn't work,the woman also does not work.
-What is the probability that the woman does work?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 10

The purchasing agent for a municipality has contracted with a local car dealer to purchase four cars.The dealer has 25 cars on his lot;10 red,7 blue,6 white,and 2 purple.If the purchasing agent has no control over the colors he receives,what is the probability that he receives at least one of the purple cars?

Accepted Answer

A) 0.33 
B) 0.30 
C) 0.36 
D) 0.39

Question 11

The probability that an employee at a company eats lunch at the company cafeteria is 0.32.The probability that an employee is female is 0.62.The probability than an employee eats lunch at the employee cafeteria and is female is 0.21.What is the probability that a randomly chosen employee either eats at the cafeteria or is female?

Accepted Answer

The answer of The probability that an employee at a...

Question 12

In a recent article it was reported that 27.3% of all college students party during weekdays,and 67% of these students plan on going to graduate school.What is the probability that a randomly-selected student party during weekdays and plans on going to graduate school?

Accepted Answer

The answer of In a recent article it was reported...

Question 13

The probability of the union of two events cannot be less than the probability of their intersection.

Accepted Answer

A) True 
 B)False

Question 14

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is the intersection of events A and B?

Accepted Answer

A) [8,10,12] 
B) [7,8,9,10,11,12] 
C) [2,4,6,8,10,12] 
D) [2,3,4,5,6,7,8,9,10,11,12]

Question 15

The probability of the intersection of two events cannot exceed the product of their individual probabilities.

Accepted Answer

A) True 
 B)False

Question 16

Which of the following best describes the addition rule of probabilities?

Accepted Answer

A)   
B)   
C)   
D)

Question 17

What is P(A |B)?

Accepted Answer

The answer of What is P(A |B)?...

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20.The probability that house sales will decrease is estimated to be 0.6.The probability that interest rates will go up and house sales will decrease is estimated to be 0.15.
-The probability that house sales will go down given that interest rates will go up is:

Accepted Answer

A) 0.95 
B) 0.90 
C) 0.75 
D) 0.80

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events AS1U1B11S1U1B0,AS1U1B12S1U1B0,BS1U1B11S1U1B0,BS1U1B12S1U1B0.Let P(AS1U1B11S1U1B0)= 0.40 ,P(BS1U1B11S1U1B0 ∣ AS1U1B11S1U1B0)= 0.60 and P(BS1U1B11S1U1B0 ∣ AS1U1B12S1U1B0)= 0.70 -What is P(A₂)?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 20

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The probability that an employee at a company eats lunch at the company cafeteria is 0.23,and the probability that employee is female is 0.52.Assume the probability that an employee eats lunch at the company cafeteria and is female is 0.11.
-As the coordinator for your work group,you are worried about a backlog of 8 projects waiting your attention.You will only be able to get to three of the projects this week.How many ways can you prioritize 3 projects out of the backlog of eight?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Exam 3: Probability

If P(A ∩B)= 1,then A and B must be collectively exhaustive.

Let event A be that there are more than two defects and let event B be that there are four or fewer defects.Which of the following statements is true?

If either event A or event B must occur,they are called collectively exhaustive.

Express the event "A ∪ B" in words

Which of the following best describes the multiplication rule of probabilities?

The application which provides a way of revising conditional probabilities by using available information and provisions for revising conditional probabilities with other information that is useful for management decision making is called:

In a recent article it was reported that 27.3% of all college students party during weekdays,and 67% of these students plan on going to graduate school.What is the probability that a randomly-selected student party during weekdays and plans on going to graduate school?

The probability of the union of two events cannot be less than the probability of their intersection.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is the intersection of events A and B?

The probability of the intersection of two events cannot exceed the product of their individual probabilities.

Which of the following best describes the addition rule of probabilities?

What is P(A |B)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A₁,A₂,B₁,B₂.Let P(A₁)= 0.40 ,P(B₁ ∣ A₁)= 0.60 and P(B₁ ∣ A₂)= 0.70 -What is P(A₂)?

Exam 3: Probability

If P(A ∩B)= 1,then A and B must be collectively exhaustive.

Let event A be that there are more than two defects and let event B be that there are four or fewer defects.Which of the following statements is true?

If either event A or event B must occur,they are called collectively exhaustive.

Express the event "A ∪ B" in words

Which of the following best describes the multiplication rule of probabilities?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The joint probabilities shown in a table with two rows,A1 and A2,and two columns,B1 and B2 are as follows: P(A1 ∩ B1) = 0.10,P(A1 ∩ B2) = 0.30,P(A2 ∩ B1) = 0.05,P(A2 ∩ B2) = 0.55 -What is P(A2 |B2) ,rounded to two decimals?

The application which provides a way of revising conditional probabilities by using available information and provisions for revising conditional probabilities with other information that is useful for management decision making is called:

In a recent article it was reported that 27.3% of all college students party during weekdays,and 67% of these students plan on going to graduate school.What is the probability that a randomly-selected student party during weekdays and plans on going to graduate school?

The probability of the union of two events cannot be less than the probability of their intersection.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is the intersection of events A and B?

The probability of the intersection of two events cannot exceed the product of their individual probabilities.

Which of the following best describes the addition rule of probabilities?

What is P(A |B)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A1,A2,B1,B2.Let P(A1)= 0.40 ,P(B1 ∣ A1)= 0.60 and P(B1 ∣ A2)= 0.70 -What is P(A2)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A₁,A₂,B₁,B₂.Let P(A₁)= 0.40 ,P(B₁ ∣ A₁)= 0.60 and P(B₁ ∣ A₂)= 0.70 -What is P(A₂)?