Question:medium
Given below is the distribution of a random variable \(X\):
\[
\begin{array}{|c|c|}
\hline
X = x & P(X = x) \\
\hline
1 & \lambda \\
2 & 2\lambda \\
3 & 3\lambda \\
\hline
\end{array}
\]
If \(\alpha = P(X<3)\) and \(\beta = P(X>2)\), then \(\alpha : \beta = \)
Given below is the distribution of a random variable \(X\):
\[ \begin{array}{|c|c|} \hline X = x & P(X = x) \\ \hline 1 & \lambda \\ 2 & 2\lambda \\ 3 & 3\lambda \\ \hline \end{array} \] If \(\alpha = P(X<3)\) and \(\beta = P(X>2)\), then \(\alpha : \beta = \)
\[ \begin{array}{|c|c|} \hline X = x & P(X = x) \\ \hline 1 & \lambda \\ 2 & 2\lambda \\ 3 & 3\lambda \\ \hline \end{array} \] If \(\alpha = P(X<3)\) and \(\beta = P(X>2)\), then \(\alpha : \beta = \)
Show Hint
The probability ratio between events is determined by comparing their individual probabilities.
Updated On: Nov 26, 2025
- \(\frac{2}{5}\)
- \(\frac{3}{4}\)
- \(\frac{4}{5}\)
- \(\frac{3}{7}\)
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