Consider a Poisson distribution with μ = 6. a. Write the appropriate Poisson probability function.
b. Compute f (2).
c. Compute f (1).
d. Compute P(x≥2)

a)

b) f(2) = 0.04462

c) f(1) = 0.01487

d)

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:

In which

x is the number of successes

e = 2.71828 is the Euler number

is the mean in the given interval.

In this question:

a. Write the appropriate Poisson probability function.

Considering

b. Compute f (2).

This is P(X = 2). So

So f(2) = 0.04462

c. Compute f (1).

This is P(X = 1). So

So f(1) = 0.01487.

d. Compute P(x≥2)

This is:

In which:

Then

So