1) Suppose X1 and X2 are both normally distributed random variable ...

Question

1) Suppose X1 and X2 are both normally distributed random variable with population mean 10 and population variance 25. If X1 and X2 are independent, the probability that average of X1 and X2 lies between 8 and 12 is closest or equal to X2.
2)Suppose we are also told that the variances and covariance are given by V (X) = 9,
V (Y) = 10 , and COV (X, Y ) = -1 . Then VAR( 2 X + 5 Y + 14 ) is closest or equal to?

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