Problem 7 CarltonDevore Exercise 75 Section 25 link to get t

Problem 7. Carlton&Devore;, Exercise 75. Section 2.5. (link to get the chapter is posted next to this homework in ccle). Let X, the number of flaws on the surface of a randomly selected carpet of a particular type, have a Poisson distribution with parameter -5. Compute the following probabilities: P(X s 8)

Solution

Poisson Distribution f(x) = e^-x/ x!

= 5

Now,

P(X<= 8) = 0.9319

P(X = 8) = 0.065

P ( X >= 9) = 1 - P ( X < 9)

= 0.0680

P ( 5 <= X <= 8) = P ( X <=8) - P (X < =5)

= 0.9319 - 0.6159

= 0.3160

P(5 < X < 8)

= P (X < 8) - P (X < 5)

= 0.8666 - 0.4404

= 0.4262

Hope this helps.