A random variable X has the following probability distribution:
| X | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| P(X) | K | 3K | 7K | 5K | 4K | K | 2K |
The value of K is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1/23
In a probability distribution the probabilities add up to 1:
\( \displaystyle K+3K+7K+5K+4K+K+2K=1 \)
\( \displaystyle 23K=1 \)
\( \displaystyle K=\frac{1}{23} \)