2   1. George throws a ball at a target 15 times. Each time George throws the ball, the probability of the ball hitting the target is 0.48 The random variable X represents the number of times George hits the target in 15 throws. (a) Find (i) P (X = 3) (ii) P (X  5) (3) George now throws the ball at the target 250 times. (b) Use a normal approximation to calculate the probability that he will hit the target more than 110 times. 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Turn over 3   Question 1 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 1 is 6 marks)