Question

Suppose that x has a Poisson distribution with μ = 3.8. (a) Compute the mean, μx, variance, σ²x, and standard deviation, σx. (b) Calculate the intervals

Answer 1

To compute the mean, variance, and standard deviation of a Poisson distribution given its mean. Intervals cannot be calculated without additional information.

Step-by-step explanation:

a) Mean, μx: The mean of a Poisson distribution is given by μ. In this case, μ = 3.8.

Variance, σ²x: The variance of a Poisson distribution is equal to its mean, so σ²x = μ = 3.8.

Standard deviation, σx: The standard deviation of a Poisson distribution is the square root of its variance, so σx = sqrt(σ²x) = sqrt(3.8) ≈ 1.95.

b) Intervals: More information is needed to calculate intervals.