AP EAMCET · Maths · Probability
For the probability distribution of a discrete random variable X as given below, the mean of X is
- A \(\frac{3}{5}\)
- B \(\frac{4}{5}\)
- C \(\frac{6}{5}\)
- D \(\frac{8}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{4}{5}\)
Step-by-step Solution
Detailed explanation
\(\sum_{x=-2}^3 P(X=x)=1\) \(\Rightarrow \frac{1}{10}+k+\frac{2}{10}+k+\frac{3}{10}+k+\frac{3}{10}+k+\frac{4}{10}+k+\frac{2}{10}=1\) \(\Rightarrow 5 k+\frac{15}{10}=1 \Rightarrow k=\frac{-1}{10}\) So, probability distribution becomes…
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