Question

Given that x has a poisson distribution with μ=12​, what is the probability that x=5​? question content area bottom part 1 ​p(5​)≈enter your response here ​(round to four decimal places as​ needed.)

Answer 1

The probability that x=5 given that x has a Poisson distribution with μ=12 is approximately 0.0129 (rounded to four decimal places).

Step-by-step explanation:

The probability that x=5 given that x has a Poisson distribution with μ=12 is approximately 0.0129 (rounded to four decimal places).

The formula to calculate this probability is:

P(5) = e^(-12) * (12^5) / 5!

Substituting the values into the formula, we get:

P(5) ≈ 0.0129