DETAILS MY NOTES Do the children still believe in Santa? A counselor took a random sample of 195 students from a local elementary school and asked "Do you believe in Santa?". Their responses are sorted in the following table. Use 3 decimal places where appropriate. Yes No Total First Grade 33 22 55 Second Grade 35 32 67 Third 27 46 Grade 73 Total 95 195 (a) What is the probability that a randomly selected student from among those surveyed would believe in Santa? (b) Among first graders, what proportion believed in Santa? (c) Given that someone did NOT believe in Santa, what is the probability they were NOT in first grade? (d) What is the probability that a randomly selected student is in second grade or does not believe in Santa? (e) What is the probability that a randomly selected student is a third grader who does believe in Santa