University of Jeddah

• MATHEMATIC SCMT

• SCST 310 Assignment# 6, ANSWERS Chapter# 10 Course Instructor: NOUF Al-Ghamdi Question# 1: Customers arrive at the neighborhood bookstore according to a Poisson process with an average rate of 7 customers per hour. If the amount of money that each customer paid is uniformly distributed between $80 and $200. N(t): Number of customers who arrived at the neighborhood bookstore by time t. λ: 7 customers per hour. y: The amount of money that paid on each customer. X(t): The total amount of money that the customers pay out by the time. ? ∶ 1 hour. y ~ Uniform ( a=80, b=200 ) ?[?] = ? + ? 2 = 80 + 200 2 = 280 2 = 140 ∴ ?[?] = 140 ???[?] = (? − ?) 2 12 = (200 − 80) 2 12 = (120) 2 12