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

Example of substitution method of linear equations, Describe some Example o...

Describe some Example of substitution method of Linear Equations with solution.

Solve the following word problems, 1.   The length of a rectangle is 2 time...

1.   The length of a rectangle is 2 times its width.  The area of the rectangle is 72          square inches. Find the dimensions of the rectangle.   2.   The length of a rec

Multiply the polynomials, Multiply following. (a) (4x 2 -x)(6-3x) (b)...

Multiply following. (a) (4x 2 -x)(6-3x) (b) (2x+6) 2 Solution  (a) (4x 2 - x )(6 - 3x ) Again we will only FOIL this one out. (4x 2  - x )(6 - 3x) = 24x 2 -

Trigonometry, how to work out consumer arithmetic?

how to work out consumer arithmetic?

Application of statistics-quality control, Quality Control Normally th...

Quality Control Normally there is a quality control departments in every industry which is charged along with the responsibility of ensuring about the products made do meet th

Linear equation, tens digit of a 2-digit number is twice its unit digit. If...

tens digit of a 2-digit number is twice its unit digit. If the sum of the digit is 12, find the number.

Taylor series, If f(x) is an infinitely differentiable function so the Tayl...

If f(x) is an infinitely differentiable function so the Taylor Series of f(x) about x=x 0 is, Recall that, f (0) (x) = f(x) f (n) (x) = nth derivative of f(x)

Math, 1+3+5+7+9+11+13+15+17+19

1+3+5+7+9+11+13+15+17+19

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