The probability of no phone calls in the first second

Assignment Help Basic Statistics
Reference no: EM131083497

The arrivals of new telephone calls at a telephone switching office is a Poisson process N(t) with an arrival rate of λ = 4 calls per second. An experiment consists of monitoring the switching office and recording N(t) over a 10-second interval.

(a) What is PN(1)(0), the probability of no phone calls in the first second of observation?

(b) What is PN(1)(4), the probability of exactly four calls arriving in the first second of observation?

(c) What is PN(2)(2), the probability of exactly two calls arriving in the first two seconds?

Reference no: EM131083497

Questions Cloud

What will the new level of consumption be from then on : Assume that a country produces an output Q of 50 every year. The world interest rate is 10%. Consumption C is 50 every year, and I = G = 0. There is an unexpected drop in output in year 0, so output falls to 39 and is then expected to return to 50 in..
American society of mechanical engineers : Summarize the contribution of the American Society of Mechanical Engineers to the dissemination of better methods of (production) shop management. What does this say about your need to be active in at least one professional society?
Organizational implications of immense logistic effort : Stones for the pyramids were quarried far to the south (upstream on the Nile River) and were brought downstream on rafts only during the spring flood of the Nile. Discuss some of the planning and organizational implications of this immense logisti..
Difference between optimizing and satisficing : Explain the difference between "optimizing" and "satisficing" in making decisions, and distinguish between routine and non-routine decisions.
The probability of no phone calls in the first second : The arrivals of new telephone calls at a telephone switching office is a Poisson process N(t) with an arrival rate of λ = 4 calls per second. An experiment consists of monitoring the switching office and recording N(t) over a 10-second interval.
Find the change in resistance in the wire due to the strain : A metallic strain gauge has a resistance of 350 ohms at zero strain. The strain gauge is originally 1-m-long. Determine the resistance (in ohms) of the gauge when is strained axially by 1cm.
Simulation model to solve real world problems : Use a concrete example showing the five-step process by which management science uses a simulation model to solve real world problems.
Derive an expression for the relationship between : Equations for the chemiluminescence determination of SO2 are given on page 425.
Concept of management by objectives : Briefly outline the concept of management by objectives (MBO) and the steps involved in implementing this technique in organizations.

Reviews

Write a Review

Basic Statistics Questions & Answers

  An airline sells 250 tickets for a certain flight that

an airline sells 250 tickets for a certain flight that only has 245 seats. on averageabout 2 of ticket purchasers do

  Calculate confidence interval for mean nicotine content

The average value observed was 1.2 mg. If the sample variance is 0.04 mg, compute a 99% confidence interval for the mean nicotine content.

  Suppose the heights of 18-year-old men are approximately

suppose the heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard

  Rms value of the largest possible sine wave

If used in an inverting amplifier configuration of gain-100, what is the rms value of the largest possible sine wave that can be applied at the input without output clipping?

  The corrosive effects of various soils on coated and

the corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan.

  Identify the sampling technique used to obtain this sample

identify the sampling technique used to obtain this samplea group of 240 adults are given numbers from 1-40. a ball is

  Find approximately annual payments of the loan

if i have been approved for a $70,000 loan toward the purchase of a new home at 12% interest. The mortgage is for 30 years. How much are the approximately annual payments of the loan? Hint: Assume you pay yearly.

  Most video games have several difficulty settings from easy

most video games have several difficulty settings from easy to hard many of these have very colorful names. a video

  Construct a tree diagram to display the information above

A Firm has two photocopying machines. The old one is available for use 80% of the time and the new one is available for use 91% of the time. The machine availabilities are independent of each other.

  In the repeated-measures anova individual differences are

in the repeated-measures anova individual differences are not a source of variability for the error ss because .a.

  Finding and comparing the standard deviation

Using the original data, test at the 5% significance level that the population standard deviation of studying times is greater than 4 hours.

  An anova that compares four treatments

After an ANOVA that compares four treatments, you calculate a separate two-sample t 95% confidence interval for each pairwise difference formed from the four population means. Are you 95% confident that these intervals capture all the true differe..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd