Answer to Question #41542 in Statistics and Probability for shashi kumar

Question

) If X is a Poisson variate and p(X = 3) > p(X = 2) then find the minimum value of mean

Answer 1

The minimal value of mean is absent. Substituting k=3 and k=2 into the formula P(X=k)=lambda^k e^-lambda/k! we come to inequality lambda>3, where lambda is a real number.