AP EAMCET2016MathematicsProbability
In a city, 10 accidents take place in a span of 50 days.Assuming that the number of accidents follow the Poisson distribution,the probability that three or more accidents occur in a day, is
Options
- A_ k=3 ^ e^ - ^k k ! , =0.2
- B_ k=3 ^ e^ ^k k ! , =0.2
- C1 - _ k=0 ³ e^ - ^k k ! , =0.2
- D_ k=0 ³ e^ - ^k k ! , =0.2
Correct answer
A. _ k=3 ^ e^ - ^k k ! , =0.2
Step-by-step solution
For poisson distribution, P( X =k)= e^ - ^k k ! Where = mean of distribution =n = probability of success Here, 10 accidents take place in 50 days. So, p = 10 50 = 1 5 and n =1 =1 1 5 =0.2 Probability that three or more accidents occur in a day, aligned & P(x 3)=P(x=3)=P(x=4)+ . & = _ k=3 ^ e^ - ^k k ! , =0.2 aligned