Suppose that y x 2 , where x is a normally distributed random variable with a mean and variance of x 0 and 2 x 4 Find the mean and variance of y by simulation Does y 2 x Does y 2 x Do this for 100, 1000, and 5000 trials ...

Program plan To find the mean and variance of the given equation where the variable ...

Suppose that y = x 2 , where x is a normally distributed random variable with a

Question:

Suppose that y = x², where x is a normally distributed random variable with a mean and variance of µ_x = 0 and σ²_x = 4. Find the mean and variance of y by simulation. Does µ_y = µ²_x? Does σ_y = σ²_x? Do this for 100, 1000, and 5000 trials.