Question #67bb2

1 Answer
Sep 8, 2015

c = 10/3c=103

E(x) = sum x* P(x)E(x)=xP(x)

Explanation:

Properties of p.d.f. include sump(x) = 1p(x)=1

sum P(x) = 1 P(x)=1

=> c[1 +4 + 9 + 16 ] = 1 c[1+4+9+16]=1

=> 30c = 1 30c=1

=> c = 1/30.E(x) c=130.E(x)

= (1/30) [1 . 1^2 + 2. 2^2 + 3. 3^2 + 4. 4^2 ] =(130)[1.12+2.22+3.32+4.42]

= (1/30)[ 1 + 8 + 27 + 64] =(130)[1+8+27+64]

= 100/30 =10030

= 10/3 =103

E(x) = sum x* P(x)E(x)=xP(x)