Exam 4: Probability

Joe is considering pursuing an MBA degree.He has applied to two different universities.The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B.Is the acceptance decision at University A independent of the acceptance decision at University B?

A(n)______________ is a collection of sample space outcomes.

If events A and B are mutually exclusive,then $\mathrm { P } ( \mathrm { A } \cap \mathrm { B } )$ is always equal to zero.

Joe is considering pursuing an MBA degree.He has applied to two different universities.The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B.What is the probability that Joe will be accepted by at least one of the two universities?

Three companies produce all the potato chips used by vending machines in public areas in a midwestern state.Company A accounts for 70 percent of the chips,Company B 19 percent,and Company C 11 percent.The probability of the vending company getting an unfilled bag is 2 percent for Company A,2 percent for Company B,and 4 percent for Company C.Suppose an unfilled bag is found.What is the probability that it came from Company B?

Consider a standard deck of 52 playing cards,a randomly selected card from the deck,and the following events: R = red,B = black,A = ace,N = nine,D = diamond,and C = club. Are A and N mutually exclusive?

When the probability of one event is not influenced by whether or not another event occurs,the events are said to be _____________.

In a local survey,100 citizens indicated their opinions on a revision to a local land-use plan.Of the 62 persons giving favorable responses,40 were males.Of the 38 giving unfavorable responses,15 were males.If one citizen is randomly selected,find the probability that person is female or has an unfavorable opinion.

Every current applicant for a position in the marketing department of Company A is given a 10-question test on interpretation of findings from statistical analyses.Individuals are rated on three levels based on their scores: Excellent (9-10 correct),Average (5-8 correct),and Poor (fewer than 5 correct).Historically,the probability of an individual scoring Excellent = .38,Average = .52,and Poor = .10.Also,the company knows that 90 percent of applicants who score Excellent are offered a position,75 percent of applicants who score Average are offered a position,and 35 percent of the applicants who score Poor are offered a position.What is the probability that an individual who is offered a position has an Average score?

In a major midwestern university,55 percent of all undergraduates are female,25 percent of all undergraduates belong to a Greek organization (fraternity or sorority),and 40 percent of all males belong to a Greek organization.Are the events "female/male" and "belongs to a Greek organization" independent?

A manager has just received the expense checks for six of her employees.She randomly distributes the checks to the six employees.What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?

Consider a standard deck of 52 playing cards,a randomly selected card from the deck,and the following events: R = red,B = black,A = ace,N = nine,D = diamond,and C = club. Are N and C mutually exclusive?

Suppose that A₁,A₂,and B are events where A₁ and A₂ are mutually exclusive events and P(A₁)= .7 P(A₂)= .3 P(B│A₁)= .2 P(B│A₂)= .4 Find P(A₂│B)

What is the probability of rolling a six with a fair die five times in a row?

Determine whether the two events are mutually exclusive. Someone born in the United States and a US citizen

A(n)_______________ probability is a probability assessment that is based on experience,intuitive judgment,or expertise.

A coin is tossed 6 times.What is the probability that at least one head occurs?

Events that have no sample space outcomes in common,and therefore cannot occur simultaneously,are ____________.

The method of assigning probabilities when all outcomes are equally likely to occur is called the classical method.

When the probability of one event is influenced by whether or not another event occurs,the events are said to be _____________.