KCET · Maths · Indefinite Integration
The probability distribution of \( x \) is
\(\begin{array}{|l|l|l|l|l|}
\hline \mathbf{x} & 0 & 1 & 2 & 3 \\
\hline \mathbf{P}(\mathbf{x}) & 0.2 & k & k & 2 k \\
\hline
\end{array}\)
find the value of \( k \)
- A \( 0.2 \)
- B \( 0.3 \)
- C \( 0.4 \)
- D \( 0.1 \)
Answer & Solution
Correct Answer
(A) \( 0.2 \)
Step-by-step Solution
Detailed explanation
We, know that, the sum of the probabilities is equal to \( 1 \). So,
\[
\begin{array}{l}
0.2+k+k+2 k=1 \\
\Rightarrow 0.2+4 k=1 \Rightarrow 4 k=0.8 \Rightarrow k=0.2
\end{array}
\]
\[
\begin{array}{l}
0.2+k+k+2 k=1 \\
\Rightarrow 0.2+4 k=1 \Rightarrow 4 k=0.8 \Rightarrow k=0.2
\end{array}
\]
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