Probability Distributions Unit 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?

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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?

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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?

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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.

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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.

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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.

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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?

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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?

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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?

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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?

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