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Question 2 25 marks You Should be able to answer this question after working through Unit 32. i. We toss a fair coin n = 100 times. Letting 5,, denote the number of heads obtained. nd the normal approximation to [08+07=15] (a) P(45 5 Sn 5 55) (b) 136:; = 50) ii. Suppose that a restaurant has on an average of 45 diners per night. Use the normal approximation to nd the probability that there are more than 50 diners per night. [10]