AP EAMCET202319 May 2023Morning ShiftMathematicsProbabilityActual
The number of persons joining a cinema ticket counter in a minute follows a Poisson distribution with parameter 6, then the probability that at least one and at most five persons join the queue in a particular minute is
Options
- Ae ^ -6 6 (25.48)
- Be⁻⁶ ( 6 2 + 6^3 3 ! + 6^4 4 ! )
- C6 e ⁻⁶(29.8)
- De⁻⁶ (6+ 6^2 2 + 6^3 3 ! + 6^4 4 ! )
Correct answer
C. 6 e ⁻⁶(29.8)
Step-by-step solution
(c) We have Poisson distribution aligned & P(X)= e^ - ^x x ! where =6 & P(1 x 5)=e⁻⁶ [ 6^1 1 + 6^2 2 ! + 6^3 3 ! + 6^4 4 ! + 6^5 5 ! ] & =e⁻⁶ 6(1+3+6+9+10.8)=6 . e⁻⁶(29.8) aligned