7.15 Assume that X1, X2, X3, X4 are independent and normally distributed with E[X] = 100...

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7.15 Assume that X1, X2, X3, X4 are independent and normally distributed with E[X] = 100 E[X2] = 90 E[X3] = 95 E[X4]=105 Var[X1] = 30 Var[X2] = 20 Var[X3] = 25 Var[X4]=15. (a) What is the distribution of S = X +X-2+ X3+X4? Can we use the central limit theorem in this case? (b) Find E[S], Var[S], and o[S]. (c) Compute P(S390). Is the answer different from P(S < 390)? 7.15 Assume that X1, X2, X3, X4 are independent and normally distributed with E[X] = 100 E[X2] = 90 E[X3] = 95 E[X4]=105 Var[X1] = 30 Var[X2] = 20 Var[X3] = 25 Var[X4]=15. (a) What is the distribution of S = X +X-2+ X3+X4? Can we use the central limit theorem in this case? (b) Find E[S], Var[S], and o[S]. (c) Compute P(S390). Is the answer different from P(S < 390)?

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a To determine the distribution of S X1 X2 X3 X4 we need to consider the properties of the individua... View the full answer