Answer:
(a) 0.10
(b) 0.70
(c) 0.30
Step-by-step explanation:
Items b and c are missing from the question:
(b) What is the probability that at least one of the two members whose name begins with C is selected?
(c) If the five faculty members have taught for 3, 6, 7, 10, and 14 years, respectively, at the university, what is the probability that the two chosen representatives have a total of at least 18 years teaching experience there?
The number of ways to select two representatives out of 5 people is given by the combination of picking two out of 5:
[tex]n=\frac{5!}{(5-2)!2!}\\n=10\ ways[/tex]
(a) Since there is only one way for both Anderson and Box to be selected, the probability is:
[tex]P = \frac{1}{10}=0.10[/tex]
(b) There are four ways for Cox to be selected, four ways for Cramer to be selected, and one where both are selected. The probability is:
[tex]P =\frac{4+4-1}{10}=0.7[/tex]
(c) The only possible ways for the total of number of years to exceed 18 is by selecting: (14;6 14;7 14;10). Therefore the probability is:
[tex]P = \frac{3}{10}=0.30[/tex]
