People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs. X P(x) 0 0.04 0.49 2 0.25 3 4 0.0 5 0.03 Part (a) Describe the random variable X in words. O X is the number of times a single customer comes into the store O X is the number of customers that come into the store X is the total number of DVDs rented at the store O X is the number of DVDs a customer rents O X is the number of DVDs a customer owns - Part (b) Find the probability that a customer rents three DVDs. (Enter your answer to two decimal places.) Part (c) Find the probability that a customer rents at least four DVDs. (Enter your answer to two decimal places.) Part (d) Find the probability that a customer rents at most two DVDs. (Enter your answer to two decimal places.)Part (e) Another shop, Entertainment Headquarters, rents DVDs and video games. The probability distribution for DVD rentals per customer at this shop is given as follows. They also have a five-DVD limit per customer. X P(x) 0 0.35 1 0.25 2 0.20 3 0. 10 4 0.05 5 0.05 At which store is the expected number of DVDs rented per customer higher? O Entertainment Headquarters O Video to Go - Part (f) If Video to Go estimates that they will have 300 customers next week, how many DVDs do they expect to rent next week? Answer in sentence form. The expected number of videos rented to 300 Video to Go customers is Part (9) If Video to Go expects 300 customers next week, and Entertainment HQ projects that they will have 420 customers, for which store is the expected number of DVD rentals for next week higher? Explain. The expected number of videos rented to 420 Entertainment Headquarters customers is --Select-- will rent more videos. Select-- Entertainment Headquarters Part (h) Video to Go Which of the two video stores experiences more variation in the number of DVD rentals per customer? How do you know that? ---Select--- | experiences more variation in the number of DVD rentals per customer, because it has a greater ---Select