Vidyalelo
Engineering Maths · Q28

Probability and Statistics

Engineering and GATE · Engineering Maths · question 28

Q28

A random variable X has a probability density function, \[ f ( x ) = \ array*20c k x^ n e^ - x;& x 0 \\ 0;& otherwise array .\] (n is an integer) with mean 3. The values of k, n are

A random variable X has a probability density function, {\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{\text{k}}{{\text{x}}^{\text{n}}}{{\text{e}}^{ - {\text{x}}}};}&{{\text{x}} \geqslant {\text{0}}} \\ {0;}&{{\text{otherwise}}} \end{array}} \right.      (n is an integer) with mean 3. The values of {k, n} are
A.
B.
C.
Answer
D.

Answer: Option C

Solution

Answer: Option C
No explanation is given for this question Let's Discuss on Board