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

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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step-by-step explanation: