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Question 1 20 marks (a) Let Z be the standard normal random variable. Find the following probabilities. Correct your answers to 4 decimal places. (i)

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Question 1 20 marks (a) Let Z be the standard normal random variable. Find the following probabilities. Correct your answers to 4 decimal places. (i) P (1.55 % 0.75 + %) {4 marks) (b) Let)? be the standard normal random variable. Find the value of w in the following equations. Correct your answers to 2 decimal places. (i) P(Z > w) = 0.3372 {4 marks) (ii) P(w e: z

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