Answer Happy

(b) The number of customers visiting the website of an online shopping store has a Poisson distribution with a mean of 4.25 per hour. i. In a randomly selected hour, what is the probability that less than 3 cus- tomers visit the website? 3 marks ii. In a randomly selected hour, what is the probability that 6 or more cuis- tomers visit the website? [3 marks iii. For five consecutive hours, what is the probability to have 2 consecutive hours with 6 or more customers and 3 other consecutive hours with less than 3 customers visit the website in each hour? (4 marks iv. With suitable approximation, find the probability that the total number of customers visit the website for the next 18 consecutive hours is less than 200. 15 marks