If the random variable X has the following probability distribution:
X 0 1 2 Otherwise P(X) K 3K 5K 0
then K is equal to
If the random variable X has the following probability distribution:
| X | 0 | 1 | 2 | Otherwise |
|---|---|---|---|---|
| P(X) | K | 3K | 5K | 0 |
then K is equal to
Solution
✅ Correct Option: 3
In any probability distribution, all probabilities must add up to 1.
From the table, the random variable can take values 0, 1, or 2 with probabilities:
Since all probabilities must sum to 1:
Therefore,
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