Question: Let W Uniform[1, 4]. a. Using the formulas given in Exercise 40.3, find the mean and variance of W. Quote your answers to 1

Let W ∼ Uniform[−1, 4].

a. Using the formulas given in Exercise 40.3, find the mean and variance of W. Quote your answers to 1 decimal place.

b. Write down suitable R commands to check your answers for E(W) and Var(W) by simulation. Run the commands in R and verify that they give the results you found in (a), except for small simulation errors.

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