n a major league baseball game, the average is 1.0 broken bat per game. (a) Find the probability of no broken bats in a game. (Round your answer to 4 decimal places.) Probability (b) Find the probability of at least 2 broken bats in a game. (Round your answer to 4 decimal places.) Probability

a) Probability of no broken bats in a game P (X=0) = 0.3678

b) Probability of at-least broken bats in a game P (X≥2) = 0.2644

Step-by-step explanation:

we will use Poisson distribution

P (X=x) = e^ (-λ) λ^ r/r!

a) Probability of no broken bats in a game P (X=0) = e^-1

= 0.3678

b) Probability of at-least two broken bats in a game

P (X≥2) = 1 - ([p (x=0) + P (x=1) ]

= 1 - (e^ (-1) + e^ (-1))

= 1 - (0.3678+0.3678)

P (X≥2) = 1 - 0.7356

P (X≥2) = 0.2644