(b) The number of customers visiting the website of an online shopping store has a Poisson distribution with a mean of 4

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B The Number Of Customers Visiting The Website Of An Online Shopping Store Has A Poisson Distribution With A Mean Of 4 1 (90.49 KiB) Viewed 20 times

(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 cus- 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 48 consecutive hours is less than 200. [5 marks