Exam 3: Probability

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(A₁ ∣ B₁)?

If the firm interviewed was expecting medium or high growth,what is the probability of the firm being located in the West?

An office of six people is plagued by high absenteeism.It is thought that the probability that an employee is absent on a particular day is 0.03.Assuming that the event that one person is absent on a particular day is independent of the absence of any other employee,what is the probability that at least one employee is absent tomorrow?

If the union of several events covers the entire sample space,it is said these events are:

Which of the following is true?

If two events are mutually exclusive,they must also be collectively exhaustive.

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(A₁ ∩ B₂)?

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(A₁ ∣ B₂)?

Marginal probability is the probability that a given event will occur,with no other events taken into consideration.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A company wishes to evaluate the effectiveness of a marketing campaign.Seventy five percent of all potential professors were reached in a focused advertising program.Twenty eight percent of those contacted adopted the book while 8% of the adoptions came from professors who did not receive the promotional material.Define the following events of interest: A₁ = Professor received advertising material A₂ = Professor did not receive advertising material B₁ = Professor adopts the book B₂ = Professor does not adopt the book -What is the probability that a professor did not receive advertising material and does not adopt the book?

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 A_i(i = 1,2,3)and B_j (j = 1,2)are defined as follows: A₁ = Full professor,A₂ = Associate professor,A₃ = Assistant professor,B₁ = Male instructor,and B₂ = Female instructor. -Show that P(A₁ ∣ B₁)+ P(A₂ ∣ B₁)+ P(A₃ ∣ B₁)= 1

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 ∣ B₂)?

The posterior probability of any event must be at least as large as its prior probability.

Express the probability P(A |B)in words.

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 A_i(i = 1,2,3)and B_j (j = 1,2)are defined as follows: A₁ = Full professor,A₂ = Associate professor,A₃ = Assistant professor,B₁ = Male instructor,and B₂ = Female instructor. -Calculate the marginal probabilities of events B_j.

Which of the following statements is true given that the events A and B have nonzero probabilities?

The type of diagram that shows subsets of the population on different branches is called a:

An example of the classical approach to probability would be:

Which of the following is not an example of the relative frequency approach to probability?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A recent survey showed that 15% of computer programmers have experienced some form of wrist pain from typing,and that 25% are taking aspirin daily.Six percent of all programmers have both experienced some form of wrist pain from typing and taken aspirin on a daily basis. -What is the probability that a programmer has wrist pain and does not take aspirin on a daily basis?