1. There is a 0.39 probability the John will purchase a new car, a 0.73 probability that Mary will purchase a new car, and a 0.36 probability that both will purchase a new car.
a. Find the probability that Mary or John will buy a new car.
b. Find the probability that neither will purchase a new car.

2. A manufacturing company has three factories: X, Y, and Z. Some of the Daily output and total output is shown below.

(a) Fill in the blanks of the table above.

(b) If one item is selected at random, find the probability that it was manufactured at factory X and is a stereo.

(c) If one item is selected at random, find the probability that it was manufactured at factory X or is a stereo.

(d) If one item is selected at random, find the probability that it is a TV or was manufactured at factory Z.

(e) Knowing the product is a TV, the probability that it was manufactured at Factory Y.

(f) Given the product was manufactured at Factory X, the probability that it is a stereo.

(g) If one item is selected at random, find the probability that it is a stereo.

3. A box of portable radios contains 15 good radios and 3 defective ones. If two are selected and tested, find the probability that at least one will be defective.

4. If 10% of the people who are given a certain drug experience dizziness, find these probabilities for a sample of 15 people who take the drug.

5. A lock consists of the numbers 0 to 39. If no number can be used twice, how many different codes are possible using three numbers?

6. How many different ways can four floral centerpieces be arranged in a display case? (Assume four spaces are available.)

7. If a student can select 5 novels from a reading list of 20 for a course in literature, how many different possible ways can this selection be done?

8. A public speaker computes the probabilities for the number of speeches she gives each week. Find the mean, variance, and standard deviation.