AP EAMCET20224 Jul 2022Morning ShiftMathematicsProbabilityActual
If 6 is the mean of a Poisson distribution, then P X ≥ 3 =
Options
- A1 - 25 e 6
- Be - 6 - 25
- C24 - 25 e 6
- De - 3
Correct answer
A. 1 - 25 e 6
Step-by-step solution
Given, Mean λ = 6 Now we know that the formula of poisson distribution is P X = x = e - λ λ x x ! Now P X ≥ 3 = 1 - P X = 0 + P X = 1 + P X = 2 ⇒ P X ≥ 3 = 1 - 1 e 6 6 0 0 ! + 6 1 1 ! + 6 2 2 ! ⇒ P X ≥ 3 = 1 - 25 e 6