Answer:
Probability = 0.2865
Step-by-step explanation:
There are 65 accidents per year. We know that there are 52 weeks in a year, so let us determine the number of accidents in a week.
65/52 = 1.25 accidents in a week
If we use Poisson distribution, remember that X = the number of occurrences of a particular event in an interval of time or space. In this case X = 0, as we need to find the probability of there being no accidents. Our set up...
P(X = x) = λ^x * e^-λ / x!,
1 week => λ = 1.25,
P(X = 0) = 1.25^0 * e^-1.25/0!
= 1 * e^-1.25
= 1/e^1.25 ≈ 0.2865
