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

Real and distinct roots, Now we start solving constant linear, coefficient ...

Now we start solving constant linear, coefficient and second order differential and homogeneous equations. Thus, let's recap how we do this from the previous section. We start alon

Determine the determinant of matrix, Example Determinant:   Determine ...

Example Determinant:   Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in

Linear relations, determine the equation that represent the following lines...

determine the equation that represent the following lines be sure to define your variable and show all of your work

The length of the rectangle, Suppose that the width of a rectangle is three...

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet. a)  Set up an equation for the perimeter involving on

Find the circumference of a circle, Find the circumference of a circle whos...

Find the circumference of a circle whose area is 16 times the area of the circle with diameter 7cm            (Ans: 88cm) Ans:     Π R 2 = 16 Π  r 2 R 2 = 16 r 2

Pythagorean theorem, How do you find the perimeter of an irregular shape us...

How do you find the perimeter of an irregular shape using Pythagorean theorem?

.., rectangles 7cm by 4cm

rectangles 7cm by 4cm

Characteristic, mention the characteristic of mathematic

mention the characteristic of mathematic

#titlefunction.., provide a real-world example or scenario that can be expr...

provide a real-world example or scenario that can be express as a relation that is not a function

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