TS EAMCET · Maths · Probability
If a random variable \(X\) follows the Poisson distribution with variance 3 , then \(P(X=r)\) is maximum, when \(r=\)
- A \(0\)
- B \(1\)
- C \(2\)
- D \(4\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
It is given that for a random variable \(X\), the poisson distribution with variance 3 . So, \(\lambda=3\) and we know that, \(P(X=r)=\frac{3^r e^{-3}}{r !}\) and \(P(X=r)\) will be maximum for some \(r \in[2,3]\) From given option \(r=2\)
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