Find the value of k, where the table given below
| \(x\) | 2 | 3 | 4 | 5 |
| \(P(X=x)\) | \(\displaystyle\frac{5}{k}\) | \(\displaystyle\frac{7}{k}\) | \(\displaystyle\frac{9}{k}\) | \(\displaystyle\frac{11}{k}\) |
represents the probability distribution.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 32
In a probability distribution the probabilities add up to 1:
\( \displaystyle \frac{5}{k}+\frac{7}{k}+\frac{9}{k}+\frac{11}{k}=1 \)
\( \displaystyle \frac{32}{k}=1,\quad k=32 \)