The probability distribution of a discrete random variable X is given as:
| x | 0 | 1 | 2 | 3 | 4 |
| P(X = x) | 0.1 | k | 2k | 2k | k |
The value of k is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 0.15
In a probability distribution the probabilities add up to 1:
\(0.1 + k + 2k + 2k + k = 1\)
\(6k = 0.9\)
\(k = 0.15\)