Question

Multiple Choice Question Assume that the monthly rainfall in Ottawa is normally distributed with mean 35.4 inches and standard deviation 4.2 inches. A research is conducted at the university of Ottawa for 10 months. Let D = X1 - X10 be the difference of the rainfall in month 1 and in month 10. Compute the mean and the standard deviation of D, respectively. Assume that monthly rainfall are independent. A. 0; 8.4 B. 0; 5.9 C.0; 0 D. -35.4; 5.9 E. -35.4; 8.4

Answer 1

Gren that Xu NM , 2 4.2 H= 35.4 the ast month and X, and do oth mendh. represent of the saintal D = X-Mo ECD)= E(X, Xco) E(X) - E(Xol 35.4-.3.5-4 a) LETD)= and Vor (D) = var( x - xco) - Lav (x) + carcato) X and Xo are independent o2 ton 262 Standard deviation of D = 1202 -FE 4.2 x 12 1 5.981 so of D optico (B) is correct Theun S:D 5.9 This CS Scanned with CamScanner