10.)(1 point) Generate two random numbers between 0 and 1 and take X to be their sum. The sum X can take any value between 0 and 2. The density curve of X is the triangle shown in Figure 10.7 (p. 275) of the 6th edition of Moore, Notz and Fligner.

(a) What is the probability that X is less than 2?

(b) What is the probability that X is less than 0.1?

11.)(1 point) A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. Choose a student at random from this group and call his time for the mile Y.

(a) Write the event "the student could run a mile in less than 7.06 minutes" in terms of the value of the random variable Y. Use the symbols "<" or ">" as appropriate to indicate the bounds on Y.

(b) What is the probability of the event from part (a)?