AP EAMCET202421 May 2024Morning ShiftMathematicsProbabilityActual
A manufacturing company noticed that 1 % of its products are defective. If a dealer orders for 300 items from this company, then the probability that the number of defective items is atmost one is
Options
- A3 e^3
- B2 e^3
- C3 e^2
- D4 e^3
Correct answer
D. 4 e^3
Step-by-step solution
n=300, p=0.01m= mean number of defective items m=n p=3 Since p is small, we can use poison's distribution aligned & P ( X 1)= P ( X =0)+ P ( X =1) & = e^ -m m^0 0! + e^ -m m^1 1! = 1 e^3 + 3 e^3 = 4 e^3 aligned