Question

The random variable x represents the number of received at a help desk in one hour, and it has a Poisson distribution with a mean of 13.1. What is the variance? variance = ____________What is the standard deviation? standard deviation =_________

Answer 1

The variance of the Poisson distribution with a mean of 13.1 is 13.1. The standard deviation is the square root of the variance, which is approximately 3.619.

Step-by-step explanation:

The random variable x represents the number of calls received at a help desk in one hour, and follows a Poisson distribution with a mean (λ) of 13.1. For a Poisson distribution, the variance is equal to the mean, so the variance in this case is also 13.1. To find the standard deviation, we take the square root of the variance.

The standard deviation is the square root of 13.1, which can be calculated using a calculator.

Standard Deviation

= √Variance = √13.1 ≈ 3.619.