Exam 4: Basic Probability

A business venture can result in the following outcomes (with their corresponding chance of Occurring in parentheses): Highly Successful (10%), Successful (25%), Break Even (25%), Disappointing (20%), and Highly Disappointing (?).If these are the only outcomes possible for The business venture, what is the chance that the business venture will be considered Highly Disappointing?

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 only one of the twin brothers?

The probability that a new advertising campaign will increase sales is assessed as being 0.80.The Probability that the cost of developing the new ad campaign can be kept within the original Budget allocation is 0.40.Assuming that the two events are independent, the probability that Neither the cost is kept within budget nor the campaign will increase sales is:

If events A and B are mutually exclusive and collectively exhaustive, what is the probability that Event A occurs?

SCENARIO 4-1 Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers.A study was recently done that emphasized the problem we all face with drinking and driving.Four hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below: - -Referring to Scenario 4-1, given alcohol was involved, what proportion of accidents involved a Single vehicle?

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, is the preferred source of current information independent of the voting registration status?

If either event A or event B must occur, then events A and B are said to be

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 or a child is __________.

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 "Did Poorly on Midterm" are

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

If the outcome of event A is not affected by event B, then events A and B are said to be

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?

At the International Pancakes Hut, there are 4 different ways to have an egg cooked, 7 different choices of pancakes, 5 different types of syrups and 8 different beverages.How many different ways are there to order an egg, a pancake with a choice of syrup and a beverage?

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, is the size of the company independent of whether stock options are offered to their board members and why?

There are only 4 empty rooms available in a student dormitory for eleven new freshmen.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 empty rooms be filled one student per room?

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 that a widget was Produced by the new machine, what is the probability it is not defective?

When using the general multiplication rule, P(A and B)is equal to

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

If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is The probability that event A occurs?

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 randomly selected company is a large company, what is the probability that it offered stock options to their board members?