10.) Abby, Deborah, Mei-Ling, Sam, and Roberto work in a firm's public relations office. Their employer must choose two of them to attend a conference in Paris. To avoid unfairness, the choice will be made by drawing two names from a hat. (This is an SRS of size 2.)

(a) Write down all possible choices of two of the five names. This the sample space. Note: Please input, for example, (Abby, Mei-Ling) or (A, M) to include a pair and use comma AND a space to separate each pair.

(b) The random drawing makes all choices equally likely. What is the probability of each choice?

(c) What is the probability that Deborah is chosen?

(d) What is the probability that neither Sam nor Abby is chosen?

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 more than 5.63 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)?