Need answer asap please

5. (15 pts.) You own a website that generates revenue from advertisements. The average rate of people visiting your website is 20 visits per minute. Data suggests that the time between visits is Exponentially distributed. Each time someone visits your website, they are shown an advertisement and click on the advertisement 5% of the time. Every time someone clicks on an advertisement that your website shows you generate 20 cents of revenue. Assume that whether a person clicks on an advertisement is independent of whether any other person clicks on an advertisement and is independent of the traffic to the website. Be sure to clearly define your random variables and pay close attention to your units. Assume a month has 30 days for simplicity in the calculations. Answer the following (a) Identify the exact distribution for the inter-arrival times of visits to the website (i.e,, time between people coming to the website). Average U = 20 visits per minute Exact distribution is rate * = 1 20 X ~ Exponential ( Mate = 1 per minute) (b) Identify the exact distribution for the number of visits in a given hour. Average = 20x60 visits pell hours Y~ Poisson ( mean = 20 * 60 = 1200) y~ Poisson ( U = 1200 ) (c) What is the expected revenue you will generate in an hour? In a month? - Revenue per advertisment = $0.20 Probability of people clicking for adventisment : 5% From ( 6) we have 4 = 1200 Expected revenue in an hour $ 12.00 R = 5% * (0. 20 * 4 ) = 5 x0. 2 x 1200 100 And Expected wevenue in a month = 12x24 x30 = $ 8, 640.00 (d) Your monthly operating costs include $1000 to "keep the lights on", $3500 to pay your web developer, $110 in domain hosting fees, and you pay yourself $4000 a month. How many visits to your website do you expect to need to cover your costs? What is the probability you get at least those numbers of visits