If the mean of the probability distribution is 5, then the value of k is :
| X | 2 | k | 5 |
| P(X) | 0.2 | 0.4 | 0.6 |
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 4
The mean of a discrete probability distribution is,
$μ=∑X.P(X)$
$⇒5=(2×0.2)+(k×0.4)+(5×0.6)$
$⇒5=0.4+0.4k+3$
$⇒k=\frac{1.6}{0.4}=4$