Answer:
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

Answer:
Step-by-step explanation:
The length of the shadow is 124.7 in
<u>Explanation:</u>
Angle of sun to the ground, θ = 30°
Height of the fence, h = 72 in
Length of the shadow, l = ?
We know,
tan θ = (Perpendicular)/(Base)
So,
tan 30° = 
Therefore, the length of the shadow is 124.7 in
13+d=r
d = money you will earn tomorrow
r = money you earned in 2 darts
(you could use any 2 variables for the question, i just used r as an example)