# Question: Assume a Poisson random variable has a mean of four

Assume a Poisson random variable has a mean of four arrivals over a 10-minute interval.

a. What is the mean of the random variable, defined by the time between arrivals?

b. Find the probability that the next arrival would be within the mean time.

c. Find the probability that the next arrival would be between one and two minutes.

a. What is the mean of the random variable, defined by the time between arrivals?

b. Find the probability that the next arrival would be within the mean time.

c. Find the probability that the next arrival would be between one and two minutes.

## Relevant Questions

A random variable X is exponentially distributed with a mean of 0.1. a. What is the rate parameter f? What is the standard deviation of X? b. Compute P (X. 0.20). c. Compute P (0.10 ≤ X ≤ 0.20). According to Daily Mail (February 28, 2012), there was an average of one complaint every 12 seconds against Britain's biggest banks in 2011. It is reasonable to assume that the time between complaints is exponentially ...A worker at a landscape design center uses a machine to ill bags with potting soil. Assume that the quantity put in each bag follows the continuous uniform distribution with low and high filling weights of 10 pounds and 12 ...Suppose that the annual household income in a small mid western community is normally distributed with a mean of $55,000 and a standard deviation of $4,500. In addition to providing the answer, state the relevant Excel ...A random variable X is exponentially distributed with a probability density function of f (x) 5 5e 25 x . Calculate the mean and the standard deviation of X .Post your question