Answer:
0.265
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A basketball player is a center in the National Basketball Association and averaged 2.3 blocked shots per game during a recent season.
This means that [tex]\mu = 2.3[/tex]
What is the probability that this basketball player will block exactly two shots during the next game?
This is [tex]P(X = 2)[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-2.3}*(2.3)^{2}}{(2)!} = 0.265[/tex]
So the answer is 0.265.
