Problem 4. Let X1, X2, X3 be a random sample of size n = 3 from a normally distributed random variable with mean 2, variance 12. Let Y = X1 -2X2 + 3X3. (a) Find the mean and the variance of Y. (b) Find P(1 < Y < 5). A ssume that a guantity is normally distributod wrih

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A: From the given information, n1=6 n2=12 σ1=σ2=14 pooled variance: spooled2=(n1-1)σ12+(n2-1)σ22n1+n2-2…

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