Exam 3: Probability

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A supplier is evaluating a firm to manufacture a subassembly.Quality data from past inspections reveal the following probabilities for number of defective parts in a shipment: -What is the probability that the shipment will have defective parts?

If P(A)= 0.84,P(B)= 0.76,and P(A ∪,and P(A∪B) = 0.90, then P(A∩B) is:

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(A₁|B₁),rounded to two decimals?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey about capital punishment,64% of the respondents said that they support capital punishment.Females comprised 48% of the sample,and of the females,46% supported capital punishment. -What is the probability that a randomly selected person is a female and does not support capital punishment?

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)?

If either event A or event B must occur,they are called mutually exclusive.

A subset of the basic outcomes is classified as a sample.

If P(A)= 0.5 and P(B |A)= 0.7,then there is a 0.35 probability that A and B occur at the same time.

Firms are increasingly asking applicants to submit to drug tests.Suppose that drug tests can identify a drug user 98% of the time.However,1% of the time the test indicates a positive result although the applicant is not a drug user.If 10% of all applicants are drug users,what is the probability that a person who has tested positive for drug use is not really a drug user?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey about capital punishment,64% of the respondents said that they support capital punishment.Females comprised 48% of the sample,and of the females,46% supported capital punishment. -What is the probability that a randomly selected person is a male and does support capital punishment?

If the events A and B are independent with P(A)= 0.30 and P(B)= 0.40,then the probability that both events will occur simultaneously is:

Let A be the event that there is at least one defect and let event B be that there is at most three defects.Which of the following statements is true?

There are five men and four women working on a project.To handle one particular aspect of the project,a subcommittee needs to be formed.In the interest of balance,it is decided that the subcommittee will consist of two men and two women.How many combinations of this subcommittee are possible?

If A and B are independent events with P(A)= 0.60 and P(A |B)= 0.60,then P(B)is:

There are two letters X and Y.If repetitions such as XX are permitted,how many two-letter permutations are possible?

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 man does work?

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 man does work and woman does not work?

The possible outcomes from a random experiment are called:

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 of an increase in interest rates and not a decrease in house sales is:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A general contractor has submitted two bids for two projects;A and B.The probability of getting project A is 0.60.The probability of getting project B is 0.75.The probability of getting at least one of the projects is 0.85. -Are the events of getting the two projects independent? Explain using probabilities.