Question

1. A and b are not correlated, treat as separate problems a) The random variable X...

1. A and b are not correlated, treat as separate problems

a) The random variable X has uniform continuous distribution on the interval [0, 10]. Find the distribution of Y = X3 and P(Y > 50).

b) The random variables X and Y are jointly bivariate normal with parameters µX = 0, σX = 1, µY = 0, σY = 2 and ρ = 0.9.

i) Find P(Y > 0)

ii) Find P(Y > 0|X = 1)

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