Question

The range of random variable X is 0, 1, 2,... ∞ and P(x=k)

= $\frac { c ( k + 1 ) } { 2 ^ { k } }$ ,for k=0,1,2,... then C=

• A. ¼
• B. 1/3
• C. ½
• D. 1/5

Answer 1

Answer: (A)

¼

Answer 2

$\sum _ { \mathrm { k } = 0 } ^ { \infty } \mathrm { P } ( \mathrm { x } = \mathrm { k } ) = 1$ ;

c = 1

C; c(2+2) = 1; c = ¼