Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. When an event has a probability of 0, it has no possibility of happening, whereas when it has a probability of 1, it is almost certain to happen. When an event has a probability of 0.45 (45%), there are 45 out of 100 chances that it will occur.
Here,
λ=1.2
=> P(X =x) = [tex]\frac{e^{-\lambda} * \lambda^{x} }{x!}[/tex]
=> P(X=2) = [tex]\frac{e^{-1.4} * 1.4^{2} }{2!}[/tex]
=> P(X=2) = 0.2466 * 1.96 /2
=>P(X=2) = 0.2417
Therefore ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.
To know more about probability , visit
https://brainly.com/question/11234923
#SPJ4