Let fx2x2 on the interval a b1 2 Then property a holds since

Let f(x)=2/x² on the interval [a, b]=[1, 2] Then property (a) holds, since 2/x² positive on the interval [1, 2]. For property (b)

If X admits this probability density function, then

A. 1/3

B. 1/2

C. 2/3

D. 3/2

Let f(x)=2/x2 on the interval [a, b]=[1, 2] Then property (a) holds, since 2/x2 positive on the interval [1, 2]. For property (b) p(1.5 leq X leq 2)= A. 1/3 B. 1/2 C. 2/3 D. 3/2 int_{1}^{2} frac{2}{x^{2}}dx = [ frac{-2}{x}]_{1}^{2} = 1 If X admits this probability density function, then

Solution

C. 2/3