Find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2).

The formula for Poisson distribution is:

P (x) = e^-k * k^x / x!

We know that:

3P(x = 1) = P(x = 2)

Therefore:

3 [e^-k * k^1 / 1!] = e^-k * k^2 / 2!

Simplifying by cancelling similar terms:

3 / 1! = k / 2!

k = 3 * 2! / 1!

k = 6

So at x = 4:

P (x = 4) = e^-6 * 6^4 / 4!

P (x = 4) = 0.1339 or 13.39%

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

answer: 2 and 1

step-by-step explanation: got this question