Question

Suppose the number of patients per week that visit a health center follows a Poisson distribution with a rate of 300 patients per week. Let the random variable X count the number of patients per week that visit the health center.

A) State the distribution of the random variable defined above

B) Compute the probability that during a randomly selected week exactly 280 patients visit the health care center

C) Compute the probability that during a randomly selected week at least 280 patients visit the health center

D) Using the mean and standard deviation, describe the number of patients visiting the health center during a week

E) If the health center management defines a "slow week" as one that satisfies the following equation, P(X < equal to x) < equal to 0.05

determine the cut off value x; that is, find the largest value of x so that the probability statement P(X < equal to x) above falls below 0.05. (Hint: trial and error works great)

Answer 1