Exam 3: Probability

An advertising campaign is being developed to promote a new bookstore opening in the newest mall development.To develop an appropriate mailing list,it has been decided to purchase lists of credit card holders from MasterCard and Visa.Combining the lists,they find the following: 40% of the people on the list have only a MasterCard and 10% have only a Visa card.Another 20% hold both MasterCard and Visa.Finally,30% of those on the list have neither card.Suppose a person on the list is known to have a MasterCard.What is the probability that person also has a Visa Card?

If events A and B are independent,then the probability of simultaneous occurrence of event A and event B can be found with:

Container 1 has 8 items,3 of which are defective.Container 2 has 5 items,2 of which are defective.One item is selected at random from each container.What is the probability that the item from container one is defective and the item from container 2 is not defective?

The _______ of two events A and B is another event that consists of the sample space outcomes belonging to either event A or event B,or both events A and B.

If A and B are independent events,P(A)= .3,and P(B)= .6,determine P(A

A pair of fair dice is thrown.What is the probability that one of the faces is a 3 given that the sum of the two faces is 9?

It is very common for a 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% of all TV-viewing households.Suppose that three TV-viewing households are randomly selected. -What is the probability that all three households viewed this special show?

In the application of Bayes' theorem the sample information is combined with prior probabilities to obtain ___________________ probabilities.

In a report on high school graduation,it was stated that 85% of high school students graduate.Suppose 3 high school students are randomly selected from different schools. -What is the probability that exactly one of the three students graduate?

What is the probability that any two people chosen at random were born on the same day of the week?

The probability of an event is the sum of the probabilities of the sample space outcomes that correspond to the event.

A batch of 50 parts contains 6 defects.If two parts are drawn randomly one at a time without replacement,what is the probability that both parts are defective?

A machine is made up of 3 components: an upper part,a mid part,and a lower part.The machine is then assembled.5 percent of the upper parts are defective;4 percent of the mid parts are defective;1 percent of the lower parts are defective.Assuming that the parts function independently of each other,what is the probability that a machine is non-defective?

The alternatives 1 and 2 in the following payoff table represent the two possible manufacturing strategies that the EKA manufacturing company can adopt.The level of demand affects the success of both strategies.The states of nature (S_i)represent the levels of demand for the company products.S₁,S₂ and S₃ characterize high,medium,and low demand,respectively.The payoff values are in thousands of dollars. States of nature Alternative (strategy) 1 10 80 70 Alternative (strategy) 2 60 120 50 The management believes that the weather conditions significantly affect the level of demand.48 monthly sales reports are randomly selected.These monthly sales reports showed 15 months with high demand,28 months with medium demand,and 5 months with low demand.12 of the 15 months with high demand had favorable weather conditions.14 of the 28 months with medium demand had favorable weather conditions.Only 1 of the 5 months with low demand had favorable weather conditions. -Construct the revised probability table for favorable weather conditions and find the probability of high demand given that the weather conditions are favorable.

Joe is considering pursuing an MBA degree.He has applied to two different universities.The acceptance rate for applicants with similar qualifications is 30% for University A and 20% for University B.You may assume that the universities make their decisions independently of one another. -What is the probability that Joe will be accepted at one,and only one university?

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

What is the probability that one randomly selected student is a male or is majoring in zoology?

A group has 12 men and 4 women.If 3 people are selected at random from the group,what is the probability that they are all men?

A survey is made in a neighborhood of 80 voters.65 were Liberal and 15 were Conservative (none claimed to support another political party).Of the Liberals,35 are women,while 5 of the Conservatives are women.One subject from the group is randomly selected. -What is the probability that the individual is a male Conservative?

Probabilities must be assigned to experimental outcomes so that the probability assigned to each experimental outcome must be between the values ____ and ____ inclusive.