Let X1, . . . , X500 be i.i.d. random variables with expected value 2 and variance 3. The random variables Y1, . . . , Y500 are independent of Xi variables, also i.i.d., but they have expected value 2 and variance 2. Use the CLT to estimate P 500X i=1 Xi > 500X i=1 Yi + 50 ! . Hint. Use the CLT for the random variable X1 − Y1, X2 − Y2,