Assume that an average of 125 packets per second of information arrive to a router and that it takes an average of 0.002 second to process each packet. Assuming exponential inter-arrival and service times, answer the following questions: a. What is the average number of packets waiting for entry into the router? b. What is the probability that 10 or more packets are present?

The waiting time at a railroad crossing follows an exponential distribution, with an average time of 8 minutes, determining the probability of waiting between 2 and 5 minutes.

An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled

A family has two cars that are insured, a sports car and a commuting vehicle. The probability that the sports car is in an accident in the next 4 years is 0.014. The probability that the commuting vehicle is in an accident in the next 4 years is 0.004. Assuming that accidents are independent events, compute the probability that at least one of the two cars is in an accident in the next 4 years. Use three decimal place accuracy. (Don't hand writing solution)

The lifetime of a transistor is exponentially distributed. The probability that the lifetime is greater than five years is 0.8. a) What is the probability that the lifetime is greater than 15 years? b) What is the probability that the lifetime is less than 2.5 years? c) What is the mean lifetime?

Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that at least 6 of them use their smartphones in meetings or classes. The probability is 0.9502. (Round to four decimal places as needed.) CHE

Solve for E)

A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 14 coughs per minute. Find the probability of at least five coughs (in a large auditorium) in a 27-second period. (Use 4 decimal places.)

Assume that the probability of getting a job that you applied for is 19%. Give all answers to at least 3 decimal places. a) What is the average number of jobs you need to apply to, before you get one job offer?    b )If you have a criminal record, then your probability of getting a job that you applied for is 1/5 of your probability of getting a job without a criminal record. What is the average number of jobs you need to apply to, before you get one job offer if you have a criminal record?

At a 911 call center, calls come in at an average rate of one call every two minutes. Assume that the time that elapses from one call to the next has an exponential distribution. On average, how much time occurs between five consecutive calls? Find the probability that after a call is received, it takes more than three minutes for the next call to occur. Ninety percent of all calls occur within how many minutes of the previous call? Suppose that two minutes have elapsed since the last call. Find the probability that the next call will occur within the next minute. Find the probability that less than 20 calls occur within an hour. View keyboard shortcuts   EditViewInsertFormatToolsTable 12pt   Paragraph