Illustrate exponential distribution, Mathematics

Assignment Help:

Q. Illustrate Exponential Distribution?

Ans.

These are two examples of events that have an exponential distribution:

The length of time you wait at a bus stop for the next bus.

The length of time a scientist waits with a Geiger counter until a radioactive particle is recorded.

The exponential distribution occurs when events comply with the following requirements:

Requirements

Events occur randomly over time according to the following:

1. Independence - the number of occurrences in non-overlapping intervals are independent.

2. Individuality - events don't occur too close to each other (i.e. in a short amount of time the probability of 2 or more occurrences is zero.)

3. Uniformity - there is a constant rate at which occurrences occur.

If X represents the length of time we wait for the first occurrence, then X has an exponential distribution.


Related Discussions:- Illustrate exponential distribution

Union of sets, Union of Sets Venn diagram presenting the union of sets...

Union of Sets Venn diagram presenting the union of sets A and B or A?B = Shaded area is demonstrated below: A ?B = Shaded area

Greens function, construct the green''s function that satisfies dG''''-(2x+...

construct the green''s function that satisfies dG''''-(2x+1)G''+(x+1)G=delta(x-s), G(0,s)=G(1,s)=0

Definition of the definite integral , Using the definition of the definite ...

Using the definition of the definite integral calculate the following.                                                             ∫ 0 2  x 2   + 1dx Solution Firstly,

Adding equally sized groups-prerequisites for multiplication, Adding Equall...

Adding Equally Sized Groups:  Once children have had enough practice of making groups of equal size, you can ask them to add some of these equal groups. They can now begin to atte

Word problem, mark got 15.00 for his birthday he now has 27.00. how much di...

mark got 15.00 for his birthday he now has 27.00. how much did he start with

Area and Perimeters, The top of the new rectangular Big Gig Thingamajig is ...

The top of the new rectangular Big Gig Thingamajig is 80 inches long and 62 inches wide. What is the top''s perimeter?

What percent of her money did she spend on lunch, Wendy brought $16 to the ...

Wendy brought $16 to the mall. She spent $6 on lunch. What percent of her money did she spend on lunch? Divide $6 by $16 to ?nd out the percent; $6 ÷ $16 = 0.375; 0.375 is equi

Find an example of congruential unit random number generator, 1. Suppose th...

1. Suppose the arrival times of phone calls in a help centre follow a Poisson process with rate 20 per hour (so the inter-arrival times are independent exponential random variables

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Transportation problem, 12. List the merits and limitations of using North ...

12. List the merits and limitations of using North West corner rule.

Write Your Message!

Captcha
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