The number of emails that I get in a weekday can be modeled by a Poisson distribution

Question:

The number of emails that I get in a weekday can be modeled by a Poisson distribution with an average of 0.2 emails per minute.

1. What is the probability that I get no emails in an interval of length 5 minutes?

2. What is the probability that I get more than 3 emails in an interval of length 10 minutes?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

See More Books

Question Posted: Nov 01, 2023 01:40 PM

See More Questions

The number of emails that I get in a weekday (Monday through Friday) can be modeled by a Poisson distribution with an average of 1/6 emails per minute. The number of emails that I receive on weekends...
The number of emails that I get in a weekday (Monday throughFriday) can be modeled by a Poisson distribution with an average of1/6 emails per minute. The number of emails that I receive onweekends...
In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in a city. They divided the city into...
A chemical is spilled into a lake of pure water and the concentration of chemicals in this lake is 4 If 20 of the water in the lake is replaced with clean in one month then. What will be the...
What is a standard cost card? What information does it contain? How does it relate to a bill of materials and an operations flow document?
This chapter has introduced methods for solving systems of equations, including substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramers rule. Use each method at...
The "wye" fitting shown in Fig. P.3.110 lies in a horizontal plane. The fitting splits the inlet flow into two equal parts. At section 1 , the water velocity is $12 \mathrm{ft} / \mathrm{sec}$ and...
Clean Sweep Company produces all-vinyl mats. Each doormat calls for 0.5 meter of vinyl material; the material should cost $3 per meter. Standard direct labor hours and labor cost per doormat are 0.3...
Preparing a Job Order Cost Sheet Riverwood Accounting Company has the following account in its cost records: Direct labor Work in Process-Jones Audit 140,000 Services completed 295,771 Project...
In this problem, we would like to show that the geometric random variable is memoryless. Let X Geometric(p). Show that We can interpret this in the following way: Remember that a geometric random...
For each of the following random variables, find P(X > 5), P(2 < X 6) and P(X > 5|X < 8).
Which is negative, f' -1 8 dx or -1 J-5 8 dx?
Based on the case of Lehr v. Robinson, when must an unwed father be given a voice in the adoption process?
What are the effective forces for a rigid body undergoing planar motion?
What underlying statutory purposes will invalidate a law that treats children of married parents and children of unmarried parents differently? What purpose will sustain differential treatment?
The kinetic energy of a rigid body undergoing planar motion consists of two terms. What are they? What does each represent?
In 1973, a "revolution in the law of determination of parentage" occurred when the Uniform Law Commissioners of the National Conference of Commissioners on Uniform State Laws ("ULC") promulgated the...
Consider the following hypothesis test: H0: 80 H0: < 80 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following...
1A. If the researcher is concerned about the number of variables, the nature of the analysis, and completion rates, then, he/she is at which stage of the sampling design process (Figure 11.1 in the...
Based on the amounts of taxable income below, compute the federal income tax payable in 2017 on each amount assuming the taxpayers are married filing a joint return. Also, for each amount of taxable...
Jill and George are married and file a joint return. They expect to have $425,000 of taxable income in the next year and are considering whether to purchase a personal residence that would provide...
Betty, a married taxpayer, makes the following gifts during the current year (2017): $20,000 to her church, $50,000 to her daughter, and $40,000 to her husband. What is the amount of Bettys taxable...
Consider the following record of travel along a straight path: Leg 1 Start from rest with a constant acceleration of 1.5 m/s for 10 s. Leg 2- Maintain a constant velocity for the next 75 s. Leg 3...
How do alterations in epigenetic modifications, including DNA methylation, histone acetylation, and chromatin remodeling, contribute to the pathogenesis of complex diseases such as cancer,...
W. Glass & Company reported the following information in its recent annual report: Year 1 Year 2 Cost of goods sold $8,200,000 $8,800,000 Beginning inventory 900,000 860,000 Ending inventory 860,000...

The number of emails that I get in a weekday can be modeled by a Poisson distribution

Question:

Step by Step Answer:

1 Let X be the number of emails that I get in the 5minute interva...View the full answer

Introduction To Probability Statistics And Random Processes

Students also viewed these Business questions