Question
The probability distribution of a discrete random variable X is given below
X 2 3 4 5
P(X) $\frac{5}{k}$ $\frac{7}{k}$ $\frac{9}{k}$ $\frac{{11}}{k}$
The value of $k$ is
- (a) 8
- (b) 16
- (c) 32 ✓ Correct
- (d) 48
Probability — Class 12 Maths Solution
Step-by-step Solution
We know that, $\Sigma P(X) = 1$
$\Rightarrow$ $\frac{5}{k} + \frac{7}{k} + \frac{9}{k} + \frac{{11}}{k} = 1$
$\Rightarrow$ $\frac{{32}}{k} = 1$
$\therefore$ $k = 32$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.