Determine the joint probability from the given probabilities. (Hint: use a probability tree) P(A)=.8  P(B|A)=.4 P(A’)=.2 P(B|A’)=.7 What is the P(A and B)?

A random variable 

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(A2 or B2)?

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 expected value E(X) for this distribution? X 0 1 2 3 Total P(X) .40 .30 .20 .10 1.00

Find the z-score that corresponds to a cummulative area of 0.4602. 

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 Given that event B2 has already occured, what is the probability of event A1 occuring?

The monthly sales at a computer store have a mean of $25,000 and a standard deviation of $4,000. Profits are 30% of the sales less fixed costs of $6,000. That is, Profit = .30(Sales)-6,000 What is the standard deviation of monthly profit?

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?