Exam 4: Probability and Probability Distributions

A professor has received a grant to travel to an archaeological dig site. The grant includes funds for three graduate students to accompany the professor. If there are six graduate students available to the professor and all the funds are to be used (i.e., three students will go), how many choices does the professor have? ______________

The neighborhood deli specializes in New York Style Cheesecake. The cheesecakes are made fresh daily and any unsold cheesecake is donated to the Salvation Army soup kitchen to feed the homeless. Each cheesecake costs $5 to make and sells for $11. The daily demand for cheesecake (the number the deli could sell if they had a cheesecake for everyone who wanted one) has the following distribution. a. What is the expected demand for cheesecake? ______________ b. What is the expected daily profit if the deli makes only one cheesecake per day? $ ______________ c. What is the expected daily profit if the deli makes only two cheesecakes per day? $ ______________

If P(A/B) = P(A), or P(B/A) = P(B), then events A and B are said to be:

The set of all simple events of an experiment is called:

The mean of a discrete random variable x:

If x is a discrete random variable, then x can take on only one of two possible values.

An experiment consists of three stages. There are three ways to accomplish the first stage, four ways to accomplish the second stage, and five to accomplish the third stage. Then, the number of ways to accomplish the experiment is:

Of the delegates at a convention, 60% attended the breakfast forum, 70% attended the dinner speech, and 40% attended both events. a. If a randomly selected delegate is known to have attended the dinner speech, what is the probability he or she also attended the breakfast forum? ______________ b. What is the probability that a randomly selected delegate either attended the breakfast forum, or attended the dinner speech, or attended both? ______________

A graduate student has decided she needs a day at the beach. She will need a swimsuit, a pair of sunglasses and a beach towel for the occasion. If she has 2 swimsuits, 3 pairs of sunglasses and 5 beach towels, how many different choices does she have? ______________

Suppose A and B are mutually exclusive events where P(A) = 0.1 and P(B) = 0.7, then P(A B) = 0.8.

The intersection of events A and B is the event that A or B or both occur.

If P(A / B) = P(A), then events A and B are said to be independent.

An experiment consists of tossing 4 unbiased coins simultaneously. The number of simple events in this experiment is 16.

Any subset of the sample space is called:

A false positive in screening tests is the event that the test is negative for a given condition, given that the person has the condition.

Conditional probability is the probability that an event will occur, with no other events taken into consideration.

The number of students living off-campus is an example of a discrete random variable.

The probability that event A will not occur is 1- .

Which of the following statements is true?

The additive rule of probability is used to compute the probability for an intersection of two or more events: namely, given two events A and B, and also