Exam 3: Probability

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You stop in at a local Internet café.The manager tells you that there are four computers in the cafe,and that the probability for one of them being available at any one time is 0.4.Assume that this probability is the same for each computer and the probability of one computer being occupied is statistically independent of any of the other computers. -What is the probability that all four computers are occupied?

If events A and B are mutually exclusive and collectively exhaustive,then the complement of event A is identical to event B.

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

Which of the following statements is always true for any two events A and B defined on a sample space S?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a survey of top executives,it was found that 46% had either traveled internationally on business or could fluently speak a foreign language.The probability that an executive who had not traveled internationally could speak a foreign language was 10%.It was found that only 4% of the executives had traveled internationally and could speak a foreign language. -What is the probability that an executive who speaks a foreign language has not traveled internationally?

If the probability of occurrence of event A is not affected by the occurrence of event B,then A and B are said to be:

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. -If the contractor gets project A,what is the probability that he will get project B?

Which term is used to describe the probability of the intersection of events A and B?

What is the probability that a randomly chosen consumer is either a man or someone who recalled the product favorably?

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 B?

Are A and independent?

If P(A ∩B)= 0,then A and B must be collectively exhaustive.

Events A and B are said to be mutually exclusive if their intersection is the empty set.

A survey of executives revealed that 35% of them regularly read The Wall Street Journal,20% read Forbes,and 10% read both The Wall Street Journal and Forbes.What is the probability that a particular executive reads either The Wall Street Journal or Forbes?

If two events A and B are mutually exclusive,what would be the addition rule?

Are events A and B mutually exclusive? Why?

When events A and B are said to be mutually exclusive,P(A∪B)can be found by adding P(A)and P(B).

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. -If the contractor gets project B,what is the probability that he will get project A?

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 capital punishment supporter?

If the union of events A and B is not the empty set,then the two events are not mutually exclusive.