# Question: A random variable X is exponentially distributed with a probability

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 .

## Answer to relevant Questions

A tollbooth operator has observed that cars arrive randomly at an average rate of 360 cars per hour.a. What is the mean time between car arrivals at this tollbooth?b. What is the probability that the next car will arrive ...In the introductory case of Chapter 3 we discussed Vanguard’s Precious Metals and Mining fund (Metals) and Fidelity’s Strategic Income fund (Income), which were two top-performing mutual funds for the years 2000 through ...A random sample is drawn from a normally distributed population with mean µ =12 and standard deviation σ =1.5. a. Comment on the sampling distribution of the sample mean with n=20 and n=40. b. Can you use the standard ...The weight of turkeys is known to be normally distributed with a mean of 22 pounds and a standard deviation of=pounds. a. Discuss the sampling distribution of the sample mean based on a random draw of 16 turkeys. b. find the ...A recent study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken. a. Discuss the sampling ...Post your question