Exam 4: Introduction to Probability

Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist?

An experiment consists of tossing 4 coins successively. The number of sample points in this experiment is

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?

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called

The set of all possible sample points (experimental outcomes) is called

The probability assigned to each experimental outcome must be

The set of all possible outcomes of an experiment is

If a six sided die is tossed two times, the probability of obtaining two "4s" in a row is

Some of the CDs produced by a manufacturer are defective. From the production line, 5 CDs are selected and inspected. How many sample points exist in this experiment?

Ten individuals are candidates for positions of president, vice president of an organization. How many possibilities of selections exist?

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

A statistics professor has noted from past experience that a student who follows a program of studying two hours for each hour in class has a probability of 0.9 of getting a grade of C or better, while a student who does not follow a regular study program has a probability of 0.2 of getting a C or better. It is known that 70% of the students follow the study program. Find the probability that a student who has earned a C or better grade, followed the program.

As a company manager for Claimstat Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.25. a.If you get a promotion, what is the probability that you will also get a raise? b.What is the probability that you will get a raise? c.Are getting a raise and being promoted independent events? Explain using probabilities. d.Are these two events mutually exclusive? Explain using probabilities.

A sample point refers to the

If a dime is tossed four times and comes up tails all four times, the probability of heads on the fifth trial is

If two events are mutually exclusive, then their intersection

In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course. a.What percentage of students is expected to pass the course? b.Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

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 a group of three finalists for a privately endowed scholarship, two individuals are to be selected for the first and second places. Determine the number of possible selections.

One of the basic requirements of probability is