Question

Question 2 of 10, Step 1 of 1 1/10 Correct Lost-time accidents occur in a company at a mean rate of 0.6 per day. What is the probability that the number of lost-time accidents occurring over a period of 9 days will be no more than 3? Round your answer to four decimal places. Tables Keypad Answer How to enter your answer Submit Answer

Answer 1

Here, λ = 5.4 and x = 3
As per Poisson's distribution formula P(X = x) = λ^x * e^(-λ)/x!

We need to calculate P(X <= 3).
P(X <= 3) = (5.4^0 * e^-5.4/0!) + (5.4^1 * e^-5.4/1!) + (5.4^2 * e^-5.4/2!) + (5.4^3 * e^-5.4/3!)
P(X <= 3) = 0.0045 + 0.0244 + 0.0659 + 0.1185
P(X <= 3) = 0.2133