THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
On average,you receive 2.6 pieces of junk mail a day.Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution.
-What is the probability that you receive exactly three pieces of junk mail today?
A)0.198
B)0.233
C)0.218
D)0.176

Question

Quizplus · Accepted Answer

The probability of receiving exactly k pieces of junk mail in a day, when the average rate (λ) is 2.6, can be calculated using the Poisson distribution formula: P(k; λ) = (e^(-λ) * λ^k) / k!. For k=3, P(3; 2.6) = (e^(-2.6) * 2.6^3) / 3! = 0.218.