A survey asked students of different age groups whether or not they had applied to more than one school. After gathering the data, the following joint probability table was produced.

	Applied to More Than One School
Yes	No	Total
Age Group	23 and under	0.1012	0.0992	0.2004
24-26	0.1498	0.1895	0.3393
27-30	0.0923	0.1324	0.2247
31-35	0.0322	0.0947	0.1269
36 and over	0.0263	0.0824	0.1087
	Total	0.4018	0.5982	1.0000

(a) Given that a person applied to more than one school, what is the probability that the person is 24-26 years old? (Round your answer to four decimal places.)

(b) Given that a person is in the 36-and-over age group, what is the probability that the person applied to more than one school? (Round your answer to four decimal places.)

(c) What is the probability that a person is 24-26 years old or applied to more than one school? (Round your answer to four decimal places.)

(d) Suppose a person is known to have applied to only one school. What is the probability that the person is 31 or more years old? (Round your answer to four decimal places.) (e)Is the number of schools applied to independent of age? Explain.

Yes, becauseP(24 to 26 | Yes) =P(Yes | 24 to 26).

No, becauseP(24 to 26 | Yes)P(24 to 26).

Yes, becauseP(31 to 35No) = 0.

No, because the two events aren't mutually exclusive.