Question: Hi, can you please solve this question using R? Thank you! Question 1 (Total: 10 marks) a) For a standard normal distribution, nd the values

Hi, can you please solve this question using R? Thank you!

Question 1 (Total: 10 marks) a) For a standard normal distribution, nd the values for 2 so that P(Z S z)=0.05, 0.25, 0.50, 0.75, 0.95. Indicate these values on a plot of the cumulative distribution function. (3 marks) b) Simulate 10,000 independent beta random variables with o: = 2 and = 4. Find the mean and variance of this sample and compare it to the actual values. (7 marks)

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