138k views
2 votes
Given that x follows a Poisson distribution with μ=1.1, what is the probability that x=0?

User Akay
by
8.4k points

1 Answer

0 votes

Final answer:

The probability that x=0 in a Poisson distribution can be calculated using the Poisson probability formula. In this case, the probability is approximately 0.3328.

Step-by-step explanation:

The Poisson distribution is used to model the number of events that occur within a fixed interval of time or space, given the average rate of occurrence. In this case, x follows a Poisson distribution with μ=1.1. To find the probability that x=0, we can use the Poisson probability formula: P(x=k) = (e^(-μ) * μ^k) / k!

Substituting the values, we get: P(x=0) = (e^(-1.1) * 1.1^0) / 0! = e^(-1.1) ≈ 0.3328

The probability that x=0 is approximately 0.3328.

User Kannan Mohan
by
7.8k points