Question 1: 12 marks Assume that someone buys a stock for $2 at the beginning of the week, and let X denote the value of that stock (in dollars) at the end of a week. Assume also that X is a continuous random variable with CDF given by O if x 10. (A) [4 marks] What are the values of a and b? (B) [4 marks] What is the median value of this stock (at the end of the week) and give its interpreta- tion in plain language. (C) [4 marks] If the stock is sold at the end of the week, what is the probability that a profit of at least 20% is made