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Answer 1 · 2015-09-08T04:23:56

#c = 10/3#

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

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

#sum P(x) = 1 #

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

=> #30c = 1 #

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

# = (1/30) [1 . 1^2 + 2. 2^2 + 3. 3^2 + 4. 4^2 ] #

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

#= 100/30 #

#= 10/3 #

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