Exam 4: Basic Probability

SCENARIO 4-2 An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm.The following result was obtained. -Referring to Scenario 4-2, what is the probability that a randomly selected student did well on the Midterm or went bar hopping the weekend before the midterm?

According to a survey of American households, the probability that the residents own 2 cars if Annual household income is over $50,000 is 80%.Of the households surveyed, 60% had incomes Over $50,000 and 70% had 2 cars.The probability that annual household income is over $50,000 If the residents of a household own 2 cars is:

A debate team of 4 is to be chosen from a class of 35.There are two twin brothers in the class. How many possible ways can the team be formed which will include both of the twin brothers?

SCENARIO 4-2 An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm.The following result was obtained. -Referring to Scenario 4-2, the events "Did Well on Midterm" and "Studying for Exam" are

According to a survey of American households, the probability that the residents own 2 cars if Annual household income is over $50,000 is 80%.Of the households surveyed, 60% had incomes Over $50,000 and 70% had 2 cars.The probability that the residents of a household do not own 2 Cars and have an income over $50,000 a year is:

True or False: An investment consultant is recommending a certain class of mutual funds to the clienteles based on its exceptionally high probability of gain.It is an ethical practice to explain to the clienteles what the meaning of probability is.

SCENARIO 4-11 A sample of 300 adults is selected.The contingency table below shows their registration status and their preferred source of information on current events. -Referring to Scenario 4-11, if an adult is selected at random, what is the probability that he/she is a registered voter who prefers to get his/her current information from the television?

The employees of a company were surveyed on questions regarding their educational background (college degree or no college degree)and marital status (single or married).Of the 600 Employees, 400 had college degrees, 100 were single, and 60 were single college graduates.The Probability that an employee of the company is married and has a college degree is:

A new model car from Ford Motor Company offers a keyless entry system that utilizes a four- letter code.How many different possible combinations are there for the code?

True or False: An investment consultant is recommending a certain class of mutual funds to the clienteles based on its exceptionally high probability of exceptionally high gain.It is an unethical practice to tell the clienteles the probability of a loss in her recommendations.

Four freshmen are to be assigned to eleven empty rooms in a student dormitory.All the rooms are considered as homogenous so that it does not matter who is being assigned to which room. How many different ways can those 4 freshmen be assigned?

A company has 2 machines that produce widgets.An older machine produces 23% defective Widgets, while the new machine produces only 8% defective widgets.In addition, the new Machine produces 3 times as many widgets as the older machine does.Given a randomly chosen Widget was tested and found to be defective, what is the probability it was produced by the new Machine?

SCENARIO 4-3 A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger and 80 preferred chicken.55 of the children preferred hamburger. -Referring to Scenario 4-3, the probability that a randomly selected individual is an adult is __________.

According to a survey of American households, the probability that the residents own 2 cars if Annual household income is over $50,000 is 80%.Of the households surveyed, 60% had incomes Over $50,000 and 70% had 2 cars.The probability that annual household income is over $50,000 If the residents of a household do not own 2 cars is:

A survey of banks revealed the following distribution for the interest rate being charged on a Home loan (based on a 30-year mortgage with a 10% down payment)on a certain date in the past. If a bank is selected at random from this distribution, what is the chance that the interest rate charged On a home loan will exceed 3.49%?

Eleven freshmen are to be assigned to eleven empty rooms in a student dormitory.Each room is considered unique so that it matters who is being assigned to which room.How many different ways can those eleven freshmen be allocated?

According to a survey of American households, the probability that the residents own 2 cars if Annual household income is over $50,000 is 80%.Of the households surveyed, 60% had incomes Over $50,000 and 70% had 2 cars.The probability that the residents of a household own 2 cars And have an income over $50,000 a year is:

True or False: If P(A and B)= 0, then A and B must be mutually exclusive.

SCENARIO 4-9 A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages.For small- to mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members. -Referring to Scenario 4-9, set up a contingency table.

SCENARIO 4-9 A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages.For small- to mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members. -Referring to Scenario 4-9, if a company is selected at random, what is the probability that the company offered stock options to their board members?