XYZ School District conducted a survey of 500 randomly selected students regarding satisfaction with student govenment. Results of the survey are shown in the table by grade.

	9th	10th	11th	12th	Total
Satisfied	67	61	70	68	266
Neutral	29	22	20	23	94
Not Satisfied	37	40	26	37	140
Total	133	123	116	128	500

One student is selected at random. Complete parts (a) through (f) below. Round answers to three decimal places, as needed.

(a) What is the probability the student is a 9th grader?

(b) What is the probability the student is satisfied, given they are an 11th grader?

(c) What is the probability the student is a 9th grader, given they are neutral?

(d) What is the probability the student is a 9th grader and satisfied?

(e) What is the probability the student is a 10th or 12th grader?

(f) What is the probability the student is an 12th grader or neutral?