Question: Suppose that the logons to a computer network follow a Poisson process with an average of 3 counts per minute. (a) What is the mean

Suppose that the logons to a computer network follow a Poisson process with an average of 3 counts per minute.
(a) What is the mean time between counts?
(b) What is the standard deviation of the time between counts?
(c) Determine x such that the probability that at least one count occurs before time x minutes is 0.95.

Step by Step Solution

★★★★★

3.53 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a EX 1 13 0333 min... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-S-C-R-V (73).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

What is the mean time between collisions for electrons in (a) An aluminum wire (b) An iron wire?

Calls arriving at a switchboard follow a Poisson process with parameter = 5.2 per minute. (a) What is the expected waiting time between the arrivals of two calls? (b) What is the probability that...

Assume service times are exponentially distributed with an average of 1.1 minutes. How many booths should CBSA open during each hour of the day to assure average wait times in the queues are less...

Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of three counts per minute. (a) What is the probability that there are no counts in a 30-second interval? (b)...

Suppose the cumulative distribution function of the random variable X is 0, x - 1.5) = i c) P(X 49.9)? (Round your answer to 3 decimal places.) iCorrect. Suppose the counts recorded by a Geiger...

Question 2 ( 2 4 points ) : Multiple choice question, 1 point each. A call center has 6 phone lines and 3 castomer service represeutatives. Suppose that culls artive at the center according to a...

Suppose f(x) = 1.5x for 1

A computer consists of three processors. Their main task is to execute jobs from users, which arrive according to a Poisson process with rate 1 5 jobs per minute and have execution times that are...

Q3. Q4. Suppose that incoming calls to an oice follow a Poisson process of rate A = 6 per hour. If the line is in use at the time of an incoming call, the secretary has a HOLD button that will enable...

Rank the following compounds in order of increasing stability based on relative ring strain.

A company paid $0.50 in cash dividends per share.Its earnings per share is $4.22 and its market price per share is $29.75.Its dividend yield is equal (Round your answer to 2 decimal places . ) :...

Question 5 5 pts must be consumed by many animals for convervion into coenurnots. nucleotides carbohydrates peotuls minerals

Consider two possibilities: (i) a bank is forced to close even though there is no good reason for it to close; (ii) a bank remains open even though there are good reasons for it to close. a. Explain...

Suppose Melvins Bank can make a bet on derivatives that has a 2/3 probability of earning $20 and a 1/3 probability of losing $40. a. Assume Melvins has $20 in capital. What are the possible costs and...

Let's change the example of capital requirements in Table 10.3. Assume that Melvin's Bank holds $40 in Treasury bonds (rather than $10) and $30 in loans to other banks (rather than $10). Otherwise,...

A single-flash geothermal power plant uses geothermal liquid water at 150oC at a rate of 420 kg/s as the heat source, and produces 15.8 MW of net power in an environment at 1 atm and 25oC. Determine...

Consider a binary geothermal cogeneration plant like that in Fig. P18-94 using geothermal water at 165oC with isobutane as the working fluid. The mass flow rate of geothermal water is 175 kg/s and...

What advice would you offer a new manager taking up a similar international role?

What are the observational units? The researcher is now interested in seeing whether a higher proportion of men in the group that crossed the Capilano Canyon bridge will call her versus the...

Fill in the two-way table with the data from the study. Wooden bridge Suspension bridge Totals Subject called interviewer 11 Subject did not call interviewer 23 Totals 34 18 16

We have two variables: bridge type and whether the subject called or not. Which of these variables is explanatory and which is response?

11. Changes to the security market line The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC),...

6. The payback period Aa Aa The payback method helps firms establish and identify a maximum acceptable payback period that helps in their capital budgeting decisions. Consider the case of Fuzzy...

You have read in Example 1.11 about the 1948 presidential election. "As goes Maine, so goes Vermont". In 1936, The Literary Digest published the results of a straw poll predicting the victory of...