A JJU student can take between 1 and 6 courses per semester. Let X be the number of courses a randomly selected JJU student takes. Suppose X has the following probability distribution, where p(x) is the probability mass function, and F00 is the cumulative distribution function. x 1 2 3 4 5 a p(x) .05 .14 .17 .29 .25 .09 F(x) .06 ,20 .37 b .91 1 a. What is the value of b? b. Calculate the probability that X s 2 c. Calculate the expected value of X? d. Calculate the expected value of X2 e. Calculate the variance of X? f. We randomly and independently select 3 different JJU students. What is the probability that all three of the selected students take more than 4 classes' 9. We randomly and independently select 3 different JJU students. What is the probability that the the maximum number of classes taken by any of the selected students is less than or equal to 57 h. Suppose JJU charges 5421 in tuition for each course taken. what is the expected value in $ of a JJU student tuition? (a decimal number.) Add any comments below. \\\\