1. A uniform distribution is defined over the interval from 6 to 10. a. What are the values for a and b? b. What is the mean of this uniform distribution? c. What is the standard deviation? d. Show that the probability of any value between 6 and 10 is equal to 1.0. e. What is the probability that the random variable is more than 7? f. What is the probability that the random variable is between 7 and 9? g. What is the probability that the random variable is equal to 7.91? 2. A uniform distribution is defined over the interval from 2 to 5. a. What are the values for a and b? b. What is the mean of this uniform distribution? c. What is the standard deviation? d. Show that the probability of any value between 2 and 5 is equal to 1.0. e. What is the probability that the random variable is more than 2.6? f. What is the probability that the random variable is between 2.9 and 3.7? g. What is the probability that the random variable is equal to 4.25? 3. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: a. More than $27? b. Less than or equal to $24? 4. According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts. a. What is the mean amount spent on insurance