Step-by-step explanation:
We have it that x follows a poisson distribution.
λ is equal to 3
The poisson distribution is given by:
P(x) = e^-λ * λ^X/X!
λ = 3
X = 4
A. The question had already given us the X value to be 4
p(x = 4)
= e^-3 x 3⁴/4!
= e^-3 = 0.001
3⁴= 34
4! = 81
putting all values into p(x=4)
= .001x81/24
= 0.1680
b. for 3 good hours, we will have lamda to be;
3x3 = 9
p(x = 6)
= e^-9 * 9⁶/6!
= 0.0911
