Exam 4: Introduction to Probability

An experiment consists of selecting a student body president and vice president. All undergraduate students (freshmen through seniors) are eligible for these offices. How many sample points (possible outcomes as to the classifications) exist?

In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63, and the probability that UTC will defeat Furman is 0.55. The probability that UTC will defeat both opponents is 0.3465. a.What is the probability that UTC will defeat Furman given that they defeat Marshall? b.What is the probability that UTC will win at least one of the games? c.What is the probability of UTC winning both games? d.Are the outcomes of the games independent? Explain and substantiate your answer.

A graphical method of representing the sample points of an experiment is

From a group of six people, two individuals are to be selected at random. How many possible selections are there?

The symbol $\cap$ shows the

If P(A) = 0.48, P(A $\cup$ B) = 0.82, and P(B) = 0.54, then P(A $\cap$ B) =

Assume two events A and B are mutually exclusive and, furthermore, P(A) = 0.2 and P(B) = 0.4. a.Find P(A $\cap$ B). b.Find P(A $\cup$ B). c.Find P(A | B).

Each individual outcome of an experiment is called

Records of a company show that 15% of the employees have only a high school diploma (H), 75% have bachelor degrees (B), and 10% have graduate degrees (G). Of those with only a high school diploma, 12% hold management positions; whereas, of those having bachelor degrees, 58% hold management positions. Finally, 82% of the employees who have graduate degrees hold management positions. a.What percentage of employees holds management positions? b.Given that a person holds a management position, what is the probability that she/he has a graduate degree?

Six applications for admission to a local university are checked, and it is determined whether each applicant is male or female. How many sample points exist in the above experiment?

From nine cards numbered 1 through 9, two cards are drawn. Consider the selection and classification of the cards as odd or even as an experiment. How many sample points are there for this experiment?

If P(A) = 0.7, P(B) = 0.6, P(A $\cap$ B) = 0, then events A and B are

A method of assigning probabilities based on historical data is called the

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 3 customers and determining whether or not they purchase any merchandise. The number of sample points in this experiment is

A graphical device used for enumerating sample points in a multiple-step experiment is a

Records of a company show that 20% of the employees have only a high school diploma; 70% have bachelor degrees; and 10% have graduate degrees. Of those with only a high school diploma, 10% hold management positions; whereas, of those having bachelor degrees, 40% hold management positions. Finally, 80% of the employees who have graduate degrees hold management positions. a.What percentage of employees holds management positions? b.Given that a person holds a management position, what is the probability that she/he has a graduate degree?

If A and B are independent events with P(A) = 0.65 and P(A $\cap$ B) = 0.26, then, P(B) =

Bayes' theorem is used to compute

Assume a businessman has 7 suits and 8 ties. He is planning to take 3 suits and 2 ties with him on his next business trip. How many possibilities of selection does he have?

Events that have no sample points in common are