Assume that the number of pieces of junk mail per day that a person receives in their mail box follows the Poisson distribution and averages 4.3 pieces per day. What is the probability that this person will not receive any junk mail tomorrow?
A)0.1069
B)0.0136
C)0.0314
D)0.1360

Question

Quizplus · Accepted Answer

The probability of receiving no junk mail (k=0) in a Poisson distribution with an average rate (λ) of 4.3 is calculated using the formula P(X=k) = (e^(-λ) * λ^k) / k!. Substituting the values, P(X=0) = (e^(-4.3) * 4.3^0) / 0! = e^(-4.3) ≈ 0.0136.

Assume That the Number of Pieces of Junk Mail Per