Please answer the two problems. Complete the task in each problem. Show your complete solution in each problem. Thank you so much!

1. A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. Let X = the number of years a student will study ballet with the teacher. . Let P(x) = the probability that a student will study ballet x years. a. Complete the table below using the data provided. x P(x) x . P(x) (x - 1)2 (x - H)2 . P(x) 0.10 N 0.05 W 0.10 0.30 6 0.20 7 0.10 b. In words, define the random variable X. C. P(x = 4) = Interpret the result. d. P(x