AP EAMCET · Maths · Probability
If the mean of a poisson distribution is \(\frac{1}{3}\), then the ratio \(P(X=1): P(X=2)\) is
- A \(1: 2\)
- B \(3: 1\)
- C \(1: 6\)
- D \(6: 1\)
Answer & Solution
Correct Answer
(D) \(6: 1\)
Step-by-step Solution
Detailed explanation
Given, Mean of Poisson distribution \(=1 / 3\) For a Poisson distribution, the mean is equal to the parameter. Hence, the parameter is \(1 / 3\). \(\therefore \quad P(X=1)=\frac{e^{-1 / 3}(1 / 3)^1}{1 !}\) \(=e^{-1 / 3}(1 / 3)\)…
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