solve a through f please

Math 120 Chapter 4 Homework Name 1) For one week during a flu outbreak, a school principal collects data on the random variable x = number of days a student is absent due to illness. P(x) represents the probability that a student misses that many days. The data is for 200 students. X = Number of days absent 0 2 3 5 P(x) 0.52 0.30 0.08 0.06 0.03 0.01 a. Verify that the properties of a discrete PDF are met. b. Use the probabilities to find P(x > 2), the probability that a student would miss more than two days due to illness. c. Find and interpret P(15 x $ 3). d. Find and interpret the mean of the probability distribution. Round to the nearest hundredth. e. Find the standard deviation of the probability distribution. Round to the nearest hundredth. f. Use the interval u + 20 to determine the most likely outcomes in this experiment