# Question: A hospital administrator worries about the possible loss of electric

A hospital administrator worries about the possible loss of electric power as a result of a power blackout. The hospital, of course, has a standby generator, but it too is subject to failure, having a mean time between failures of 500 hours.

It is reasonable to assume that the time between failures is exponentially distributed.

a. What is the probability that the standby generator fails during the next 24-hour blackout?

b. Suppose the hospital owns two standby generators that work independently of one another. What is the probability that both generators fail during the next 24-hour blackout?

It is reasonable to assume that the time between failures is exponentially distributed.

a. What is the probability that the standby generator fails during the next 24-hour blackout?

b. Suppose the hospital owns two standby generators that work independently of one another. What is the probability that both generators fail during the next 24-hour blackout?

**View Solution:**## Answer to relevant Questions

On average, the state police catch eight speeders per hour at a certain location on Interstate I-90. Assume that the number of speeders per hour follows the Poisson distribution. In addition to providing the answer, state ...U.S. consumers are increasingly viewing debit cards as a convenient substitute for cash and checks. The average amount spent annually on a debit card is $7,790 (Kiplinger's , August 2007). Assume that the average amount ...On a particularly busy section of the Garden State Parkway in New Jersey, police use radar guns to detect speeders. Assume the time that elapses between successive speeders is exponentially distributed with a mean of 15 ...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 .A marketing firm opens a small booth at a local mall over the weekend, where shoppers are asked how much money they spent at the food court. The objective is to determine the average monthly expenditure of shoppers at the ...Post your question