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O#3 With your 52-card deck you will shuffle, randomly draw a card, replace it, repeat (a) this process 7 times we will be interested in Y=THE NUMBER OF RED CARDS(5 Marks) We will be interested in Y = the number of hearts drawn in 5 draws. i. By using an appropriate distribution P(Y) Make a probability distribution find the expectation and its variance b. A large chain retailer purchases a certain kind of electronic device from a manufacture. The manufacture indicates that the defective rate of the device is 3%. ii. The inspector randomly pics 20 items from a shipment . What is the probability that there will be at least one defective item among these 20? ii. Suppose that a retailer receives 10 shipments in a month and inspector randomly test 20 devices per shipment. What is the probability that there will be exactly 3 shipments each containing at least one defective device among the 20 that are selected and tested from the shipment.(5 marks) Derive moment generating function of uniform distribution also find its mean and variance alsofine its meanandvariance. (5 marks) (c) What SPSS is and what is it used for how it is useful in computer sciecield? (5marks)