Exam 4: Basic Probability

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 the Cost is not kept within budget or the campaign will not increase sales is:

If two events are mutually exclusive, what is the probability that one or the other occurs?

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 not include any of the twin brothers?

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

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 unethical practice not to also recommend a class of mutual funds with an exceptionally high probability of loss.

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 a child and prefers chicken is __________.

Twelve students in a Business Statistics class are to be formed into three teams of four.How many different ways can this be done?

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 less than or equal to $50,000 a year 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 the residents do not own 2 cars if annual Household income is not over $50,000 is:

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 and prefers chicken is __________.

If two events are mutually exclusive and collectively exhaustive, what is the probability that both Occur?

True or False: If P(A)= 0.4 and P(B)= 0.6, then A and B must be collectively exhaustive.

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 who went bar Hopping did well on the midterm?

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, what proportion of accidents involved alcohol or a single vehicle?

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, assume we know that a person prefers chicken.The probability that this individual is an adult is __________.

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 single or has a college degree 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, what is the probability that a randomly selected student did well on the Midterm and also went bar hopping the weekend before the midterm?

True or False: If P(A)= 0.4 and P(B)= 0.6, then A and B must be mutually exclusive.

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, assume we know that a person prefers hamburger.The probability that this individual is a child 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, what is the probability that an adult who prefers to get his/her current information from the internet will be a registered voter?