Exam 3: Probability

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features. -The probability that a person wants a better fuel efficiency given that he wants a vehicle navigation system is approximately:

If P(A)= 0.20,P(B)= 0.40,and P(A ∩B)= 0.08,then A and B are said to be:

Odds in favor of a particular event are given by the ratio of the probability of the event divided by the probability of the population.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey of consumer confidence,160 respondents were classified by their level of education.The results of the survey are presented below. -What proportion of respondents had at least some college education and had high confidence?

Bayes' Theorem is used to compute:

The probabilities that result from studying two distinct sets of events are called:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features. -The probability that a person wants better fuel efficiency and also a vehicle navigation system is:

Are there gender differences in response to the commercial?

Conditional probability is the probability that an event will occur,given that another event will also occur.

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 complement of event A?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A personnel officer for a firm that employs many part time salespeople tries out a sales aptitude test on several hundred applicants.Because the test is unproven,results are not used in hiring.Forty percent of applicants show high aptitude on the test and 12% of those hired both show high and achieve good sales records.The firm's experience shows that 30% of all salespeople achieve good sales.Let A be the event "shows high aptitude" and let B be the event "achieves good sales". -What is P(A ∩B)?

The diagram which provides an intuitive understanding of the addition rule which computes the probability of the union of events is called a:

Express the probability P(B |A)in words

Relative frequency probabilities indicate how often an event will occur compared to other events.

If P(A)= 0.25 and P(B)= 0.60,then P(A ∩B)is:

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 received advertising material and adopts the book?

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 mutually exclusive? Explain using probabilities.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey about US policy in Iraq,62 % of the respondents said that they support US policy in Iraq.Females comprised 53% of the sample,and of the females,46% supported US policy in Iraq.A person is selected at random. -What is the probability that the person we select is female and supports U.S.policy in Iraq?

Express the event "A ∩ B" in words

A junior executive looking at his business attire in his closet notes that he has eight suits,six shirts,and four pairs of shoes.He is going on a business trip and needs to take two of each.How many different combinations of outfits could he take?