Exam 7: Probability

Use the following information for questions: A study was conducted at a small college on first-year students living on campus. A number of variables were measured. The table below provides information regarding number of roommates and end of term health status for the first-year students at this college. Health status for individuals is measured as poor, average, and exceptional. -What is the probability that a randomly selected first-year student with no roommates had poor end of term health status?

Use the following information for questions: Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college. -What is the probability that a randomly selected student both faced a disciplinary action and went on to college?

Which of the following is definitely true for mutually exclusive events A and B?

Which of the following statements is true for 6 tosses of a fair coin, where H = Heads and T = Tails?

Use the following information for questions: In a survey of 1000 adults, respondents were asked about the expense of a college education and the relative necessity of financial assistance. The correspondents were classified as to whether they currently had a child in college or not (college status), and whether they thought the loan obligation for most college students was too high, about right, or too little (loan obligation opinion). The table below summarizes some of the survey results. Use these results to answer the following questions. -Are the events H = {the adult thinks loan obligations are too high} and C = {the adult has a child in college} mutually exclusive?

A medical treatment has a success rate of 0.8. Two patients will be treated with this treatment. Assuming the results are independent for the two patients, what is the probability that neither one of them will be successfully cured?

At a particular university, a study has shown that students who live on campus are more likely to have GPAs over 3.0 than students who do not. A freshman at this university is randomly selected at the beginning of the fall term. Define events A = {the student lives on campus}, and B = {the student has a GPA over 3.0 at the end of the fall term}. According to the housing office, P(A) = .80. Which statement is definitely true about P(B|A) based on this information?

Use the following information for questions: A standard 52-card deck is shuffled and 2 cards are picked from the top of the deck. -The probability that the first card is a Heart and the second card is a Spade is

Use the following information for questions: In a survey of 1000 adults, respondents were asked about the expense of a college education and the relative necessity of financial assistance. The correspondents were classified as to whether they currently had a child in college or not (college status), and whether they thought the loan obligation for most college students was too high, about right, or too little (loan obligation opinion). The table below summarizes some of the survey results. Use these results to answer the following questions. -What is the probability that a randomly selected adult will think loan obligations are too high?

Use the following information for questions: A study was conducted at a small college on first-year students living on campus. A number of variables were measured. The table below provides information regarding number of roommates and end of term health status for the first-year students at this college. Health status for individuals is measured as poor, average, and exceptional. -What is the probability that a randomly selected first-year student with 1 roommate had poor end of term health status?

Four students' names, including yours, are written on separate slips of paper and placed in a box. The teacher randomly draws two names without replacement. What is the probability that the paper with your name on it will be the second one drawn?

Use the following information for questions: For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability. -In a sample of 1000 students majoring in the humanities, 660 were female. The 66% (660/1000) chance of a humanities major being female is a

A survey was given to sophomores at a university and one of the questions asked was "What is the probability that you will leave school before you graduate?"The answer to this question for an individual student is an example of

Use the following information for questions: Of the residents of the U.S., 43% live in Northeast/Midwest region while the remaining 57% live in the South/West region. Of the residents in the Northeast/Midwest region, 14% are senior citizens, while the corresponding value for the South/West region is 12%. A citizen will be selected at random. -What is the probability that the person will be a senior citizen from the Northeast/Midwest region?

The statistics of a particular basketball player state that he makes, on average, 4 out of every 5 free throw attempts. This player is about to make 5 free throw attempts. We wish to calculate the probability that all 5 attempts result in a goal. Explain how you would choose random digits to simulate this scenario.

Use the following information for questions: A football player is randomly selected from all NCAA Division I college teams. Define the events D = {the football player plays defense} and T = {the football player is over 6 feet tall}. -Suppose the percentage of football players who play defense that are shorter than 6 feet tall is only 8%. How do write this statement using events D and T?

When 4 cards are drawn randomly from a standard 52-card deck without replacement, what is the probability that the first two cards are Hearts and the second two cards are Spades?

Every year, on the first day of school, the sixth grade teacher at Greenville Middle School asks his students to pick their favorite primary color: red, yellow, or blue. From years of experience, the teacher knows that only 1 in 7 students choose yellow and that about half of the students pick blue. What is the chance that a student picks red?

Use the following information for questions: A standard 52-card deck is shuffled and 2 cards are picked from the top of the deck. -The probability that the both cards are Hearts is

Which of the following is an example of a relative frequency probability based on measuring a representative sample and observing relative frequencies of possible outcomes?