# Question: The time between the arrival of electronic messages at your

The time between the arrival of electronic messages at your computer is exponentially distributed with a mean of two hours.

(a) What is the probability that you do not receive a message during a two-hour period?

(b) If you have not had a message in the last four hours, what is the probability that you do not receive a message in the next two hours?

(c) What is the expected time between your fifth and sixth messages?

(a) What is the probability that you do not receive a message during a two-hour period?

(b) If you have not had a message in the last four hours, what is the probability that you do not receive a message in the next two hours?

(c) What is the expected time between your fifth and sixth messages?

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

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes.(a) What is the probability that you wait longer than one hour for a taxi?(b) Suppose you have already been ...Continuation of Exercise 4-85.(a) If 10 assemblies are tested, what is the probability that at least one fails in less than 100 hours? Assume that the assemblies fail independently.(b) If 10 assemblies are tested, what is ...Assume that the flaws along a magnetic tape follow a Poisson distribution with a mean of 0.2 flaws per meter. Let X denotes the distance between two successive flaws.(a) What is the mean of X?(b) What is the probability that ...Errors caused by contamination on optical disks occur at the rate of one error every 105 bits. Assume the errors follow a Poisson distribution.(a) What is the mean number of bits until five errors occur?(b) What is the ...Suppose that X has a Weibull distribution β = 0.2 and δ = 100 hours. Determine that following: (a) P(X < 10,000) (b) P(X > 5000)Post your question