Question

While driving in the car with this family Jeffery likes to look out the window to find Punch Buggies. On average Jeffery sees 3.85 Punch Buggies per hour. Assume seeing Punch Buggies follows a Poisson process. Find the probability Jeffery sees exactly 2 Punch Biggies in an hour. Round your answer to 4 decimal places.

Answer 1

0.1577 or 15.77%

Explanation:

The Poisson probability model follows the given relationship:

`P(X=k) =(\lambda^k*e^(-\lambda))/(k!)`

For a Poisson model with a parameter λ = 3.85 Punch Baggies/hour, the probability of X=2 successes (exactly 2 Punch Baggies in an hour) is given by:

`P(X=2) =(3.85^2*e^(-3.85))/(2!)\\P(X=2) =0.1577=15.77\%`

The probability is 0.1577 or 15.77%.