JEE Mains · Maths · STD 12 - 13. probability
A random variable \(X\) has the following probability distribution
| \(X\) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) |
| \(P(X)\) | \(k\) | \(2k\) | \(4k\) | \(6k\) | \(8k\) |
- A \(\frac{4}{7}\)
- B \(\frac{2}{3}\)
- C \(\frac{3}{7}\)
- D \(\frac{4}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{4}{7}\)
Step-by-step Solution
Detailed explanation
\(P \left(\frac{1< x <4}{ x \leq 2}\right)=\frac{ P (1< x <4 \cap x \leq 2)}{ P ( x \leq 2)}\) \(=\frac{ P (1< x \leq 2)}{ P ( x \leq 2)}=\frac{ P ( x =2)}{ P ( x \leq 2)}\) \(=\frac{4 k }{ k +2 k +4 k }\) \(=\frac{4}{7}\)
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