The table shows the results of a survey in which 3,405,100 public and 489,900 private school teachers were asked about their full-time teaching experience.

(a) Find the probability that a randomly selected private school teacher has 10 to 20 years of full-time teaching experience.

(b) Find the probability that a randomly selected teacher is at a public school, given that the teacher has 3 to 9 years of full-time experience.

(c) Are the events “being a public school teacher” and “having more than 20 years of full-time teaching experience” independent? Explain.

(d) Find the probability that a randomly selected teacher has 3 to 9 years of full-time teaching experience or is at a private school.

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Public Private Total Less than 3 years 304,650 90,675 395,325 3 to 9 years 1,127,205 145,545 1,272,750 10 to 20 years 1,232,140 128,805 1,360,945 More than 20 years 721,005 99,510 820,515 Total 3,385,000 464,535 3,849,535