Probability Distribution Review

An insurance company charges Ted E. Baer $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?

A $100 bill, two $10 bills, three $5 bills and four $1 bills are placed in a bag. If a bill is chosen at random, what is the expected value for the amount chosen?

A game consists of rolling a colored die with three blue sides, two red sides, and one white side. A roll of blue loses. A roll of red pays $3.00. A roll of white pays $5.00. The charge to play the game is $2.00. Would you play the game? Why or why not? What price would make this a fair game?

Eighty percent of new car buyers choose automatic transmissions. For a group of 10 new car buyers, find the probability that exactly 7 choose an automatic transmission.

Eighty percent of new car buyers choose automatic transmissions. For a group of 10 new car buyers, find the probability that at most 6 choose an automatic transmission.

Eighty percent of new car buyers choose automatic transmissions. For a group of 10 new car buyers, find the probability that more than 5 choose an automatic transmission.

Eighty percent of new car buyers choose automatic transmissions. For a group of 10 new car buyers, how many buyers do you expect to select automatic transmissions?

Mrs. Murphy drives to school along the same route Monday through Friday. There is one traffic light on her route. The probability that the light will be red is 65%. What is the probability that she will not have to stop at the light all next week?

The circumference of a basketball follows a Normal distribution with a mean of 29.5 inches and a standard deviation of 0.1 inches. What percent of basketballs are at least 29.6 inches in diameter?

The circumference of a basketball follows a Normal distribution with a mean of 29.5 inches and a standard deviation of 0.1 inches. What percent of basketballs are less than 29.3 inches in diameter?