The probability distribution of a discrete random variable X is given below :
| X | 2 | 3 | 4 | 5 |
| P(X) | 5/K | 7/K | 9/K | 11/K |
then the value of K is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 32
The probabilities of a probability distribution add up to 1:
\( \displaystyle \frac{5}{K} + \frac{7}{K} + \frac{9}{K} + \frac{11}{K} = 1 \)
\( \displaystyle \frac{32}{K} = 1 \)
\(K = 32\)