Q1. You are organising an outdoor concert for next week and believe attendance will depend on the weather. You consider the following possibilities are appropriate: a) Let X denote the attendance. Why is X a random variable? Is it discrete or continuous? b) What is the expected attendance? c) What is the variance of attendance? d) Suppose that each ticket costs $5 and that the total cost of giving the concert is a fixed $2,000. Let Y= profit-total sales revenue - total cost =5X2000. Find E(Y) and var(Y)