# Question

If a company employs n salespersons, its gross sales in thousands of dollars may be regarded as a random variable having a gamma distribution with α = 80√n and β = 2. If the sales cost is $ 8,000 per salesperson, how many salespersons should the company employ to maximize the expected profit?

## Answer to relevant Questions

The amount of time that a watch will run without having to be reset is a random variable having an exponential distribution with θ = 120 days. Find the probabilities that such a watch will (a) Have to be reset in less than ...A certain kind of appliance requires repairs on the average once every 2 years. Assuming that the times between repairs are exponentially distributed, what is the probability that such an appliance will work at least 3 years ...If X is a random variable having a normal distribution, what are the probabilities of getting a value (a) Within one standard deviation of the mean; (b) Within two standard deviations of the mean; (c) Within three ...Suppose that the actual amount of instant coffee that a filling machine puts into “6-ounce” jars is a random variable having a normal distribution with σ = 0.05 ounce. If only 3 percent of the jars are to contain less ...Using the form of the gamma function of Exercise 6.8, we can write And hence Change to polar coordinates to evaluate this double integral, and thus show that (12 ) = v p. In exercisePost your question

0