Let X1, X2, X3 be a random sample from the N(1, 2) distribution. Let X4, X5 be a random sample from the N(0, 9) distribution, and independent of X1, X2, X3.

Find the value of the constant c so that has an F-distribution. (see the attached picture for complete question)

Problem B . 3 ( a ) Give the definition of an F- random variable ( b ) Let X 1 , $ 2 , X 3 be a random sample from the N ( 1 2 ) distribution . Let X , X's be a random sample from the N ( 0 9 ) distribution , and independent of X 1 , X 2 , X 3 Find the value of the constant c so that ( x - 2 X 2 + X3 7 x3 + x has an F - distribution