12. Ali practices piano each month. She does not practice no more than five times in a month. She practices exactly five times 37% of the time, four practices 23% of the time, three practices 17% of the times, two practices 12% of the time, one practice 6% of the time and not practice 5% of the time. a) Construct a Probability Distribution for the given data. b) Find the expected value of the number of practices Ali does in a month.

8. A basketball player has a free throw percentage of 80%. He was fouled while attempting a three-point shot and will be shooting 3 free throws. Make a probability distribution for the number of shots he makes. a. List all possible outcomes: b. List all events; in this case, what are the possible numbers of shots made? c. Find the probability of each event and display the probabilities in the table: Event Probability of Event Total

1. From a box containing five quarters and two dimes, three coins are selected at random without replacement. Find the probability distribution for the total T of the three coins.

Sixty percent of clowns aren’t funny.   If you randomly encounter three different clowns, what is the probability that none of them are funny?

The number of customer orders for 21-inch (“two-page”) computer monitors at a large mail-order firm averages 10 monitors per day. The average level of customer demand is constant, and customers do not affect one another in their buying habits. a.Determine the probability that more than 10 monitors will be purchased in a day. b.Find the probability that exactly 7 monitors will be purchased in a day. C.There are currently 12 monitors in stock, and no more will arrive from the manufacturer for another 2 days. What is the probability that no monitor will have to be back ordered?

2. The probability model of the number of dinners that a typical American cook in a week is as follows. Number of dinners: 1 3 4 6. 7. Probability: 0.05 0.05 0.1 0.15 0.15 0.2 ? 0.2 Complete the probability table (find the missing probability)