AP EAMCET · Maths · Probability
Let \(X\) be a random variable with probability distribution function,
\(P(X=x)=K\left(\frac{2}{5}\right)^x, x=1,2,3, \ldots \ldots\) Then, value of \(K\) is
- A \(\frac{3}{5}\)
- B \(\frac{5}{3}\)
- C \(\frac{3}{2}\)
- D \(\frac{2}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
Given, \(P(X=x)=K(2 / 5)^x\) We know \(\Sigma P_i=1\) \(\therefore \quad K\left[\left(\frac{2}{5}\right)+\left(\frac{2}{5}\right)^2+\left(\frac{2}{5}\right)^3+\ldots\right]=1\)…
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