randomly selected ten (10) defendants in a state prison. They have been enced to prison (years) for:

On the television game show Deal or No Deal, a contestant chooses from among 26 suitcases, each of which contains a dollar amount. Those 26 amounts (in order) are given below. 0.01 300 75,000 1 400 100,000 500 200,000 10 750 300,000 25 1000 400,000 50 5000 500,000 75 10,000 750,000 100 25,000 1,000,000 200 50,000 If one of these 26 prizes is selected at random (so that all 26 prizes are equally likely), the expected value of these prize amounts is equal to this mean: $131,478.

License plates: In a certain state, license plates consist of four digits from 0 to 9 followed by four letters. Assume the numbers and letters are chosen at random. Replicates are allowed. How many different license plates can be formed? The number of different license plates is?=

Is the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 141 drawings were made. For the purpose of this exercise, we grouped the numbers in to five categories: 1–7, 8–14, and so on. If the lottery is fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that each of the categories is equally likely. Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator.   Category 1–7 8–14 15– 21 22–28 29–35 Observed 22 20 29 32 38 Send data to Excel   ) State the null and alternate hypotheses.   H0: p1=p2=p3=p4=p5=?…