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TS EAMCET · Maths · Probability

Let px represent the probability mass function of a Poisson distribution. If its mean λ=3.725, then value of x at which px is maximum is

  1. A 2
  2. B 3
  3. C 4
  4. D 5
Verified Solution

Answer & Solution

Correct Answer

(B) 3

Step-by-step Solution

Detailed explanation

We know that the Poisson distribution is given by px=e-λλxx! where, x=0, 1, 2, 3, 4 Since, e-λ is a positive constant therefore it is sufficient to find the maxima of λxx!. Now, when x=0⇒λxx!=1 Now, we have to find maxima of…