As in Exercises 3.2, 10.2, 11.2, and 12.3, at a certain local restaurant, students are known to

Question:

As in Exercises 3.2, 10.2, 11.2, and 12.3, at a certain local restaurant, students are known to prefer Japanese pan noodles 40% of the time (it is a very popular and tasty dish!).
a. Let X be an indicator for whether a randomly selected student orders Japanese pan noodles. Find E(X) and Var(X).
b. The student is joined by his girlfriend; let Y indicate whether she buys Japanese pan noodles. Find E(F).
c. Japanese pan noodles cost $7, and all of the other noodle dishes at the restaurant cost $6. What is the expected value of the bill for the couple?