🛠️ JEE➗ Maths

A random variable \(X\) has the following probability distribution: \begin{equation} \begin{array}{|c|c|c|c|c|c|} \hline…

Q1

A random variable \(X\) has the following probability distribution:

\begin{equation}
\begin{array}{|c|c|c|c|c|c|}
\hline \boldsymbol{X} & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} \\
\hline \boldsymbol{P}(\boldsymbol{x}) & k^2 & 2 k & k & 2 k & 5 k^2 \\
\hline
\end{array}
\end{equation}

Then \(P(x>2)\) is equal to:

[JEE Main 2020, 9 Jan (Shift 2)]

a

\(\frac{23}{36}\)

b

\(\frac{7}{12}\)

c

\(\frac{1}{36}\)

d

\(\frac{1}{6}\)

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