Exam 4: Probability

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.What is the probability that one randomly selected undergraduate will be either a female or belong to a Greek organization?

Employees of a local university have been classified according to gender and job type. If an employee is selected at random,what is the probability that the employee is a member of the hourly staff,given that the employee is female?

Suppose that you believe that the probability you will get a grade of B or better in Introduction to Finance is .6,and the probability that you will get a grade of B or better in Introduction to Accounting is .5.If these events are independent,what is the probability that you will receive a grade of B or better in both courses?

Determine whether the two events are mutually exclusive: Voter who favors gun control and an unregistered voter

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 R and A mutually exclusive?

The set of all possible outcomes for an experiment is called a(n)____________.

What is the probability of rolling a seven with a pair of fair dice?

It is very common for television series to draw a large audience for special events or for cliff-hanging story lines.Suppose that on one of these occasions,the special show drew viewers from 38.2 percent of all US TV households.Suppose that three TV households are randomly selected. What is the probability that all three households viewed this special show?

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(A₁|B).

A(n)____________ is the probability that one event will occur given that we know that another event already has occurred.

A card is drawn from a standard deck.What is the probability the card is an ace,given that it is a club?

Employees of a local university have been classified according to gender and job type. Are gender and type of job mutually exclusive?

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?

If A and B are independent events,P(A)= .2,and P(B)= .7,determine

What is the probability of at least one tail in the toss of three fair coins?

Employees of a local university have been classified according to gender and job type. If an employee is selected at random,what is the probability that the employee is female or works as a member of the faculty?

A report on high school graduation stated that 85 percent of high school students graduate.Suppose 3 high school students are randomly selected from different schools. What is the probability that none graduates?

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 a Poor score?

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

Employees of a local university have been classified according to gender and job type. If an employee is selected at random,what is the probability that the employee is male and salaried staff?