Modeling the number of transport bus breakdowns in every month to determine if an additional bus should be purchased. The running average has been 5 breakdowns per month. To calculate the probability of exactly 2 breakdowns next month:

The probability of exactly 2 breakdowns next month = 0.08422

Step-by-step explanation:

To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.

P (X = x) = (e^-λ) (λˣ) / x!

Mean = λ = 5 breakdowns per month

x = 2 breakdowns per month

P (X = 2) = (e⁻⁵) (5²) / 2!

P (X = 2) = 0.08422