The discrete random variable X is the number of students that show up for Professor Smith’s office hours on Monday afternoons. The table below shows the probability distribution for X. What is the probability that fewer than 2 students come to office hours on any given Monday? X 0 1 2 3 Total P(X) .40 .30 .20 .10 1.00

A machine dispenses water into a glass. Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces, the average amount of water dispensed by the machine is Note:  E ( X ) = a + b 2

Which best exemplifies the classical definition of probability?

Use the following table of joint probabilities to answer the question. (Note: there are 5 questions total throughout the exam that use this table, so you will come back to it again!)   A1 A2 B1 .10 .05 B2 .30 .55 What is P(A1 and B1)?

Suppose you were given the following table of joint probabilities.    A1 A2 B1 .20 .60 B2 .05 .15 Are the events independent?

Let the random varialbe X follow a normal distribution with mean = 48 and standard deviation = 7.8. Find the probability that X is greater than 58. 

Within a given population, 22 percent of the people are smokers, 57 percent of the people are males, and 12 percent are males who smoke. If a person is chosen at random from the population, what is the probability that the selected person is either a male or a smoker?

Given the contingency table shown here, find P( B). Age Absences Under 25 (A) 25 or More (A’) Row Total Under 2 days (B) 50 40 90 2 or more days (B’) 30 80 110 Column Total 80 120 200

From the following tree, find the probability that a randomly chosen person will get the flu vaccine and will also get the flu.

Which of the following correctly describes the flow of cerebrospinal fluid (CSF) through the ventricular system?