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

Multiplication in decimal notations., Consider the following multiplication...

Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8

Triangles, what are rules of triangles?

what are rules of triangles?

Hierarchical structures-how mathematical ideas grow, Hierarchical Structure...

Hierarchical Structures :  As the abstractions from concrete objects and materials become more and more general, they represent wider and wider ideas. If we put down each step of

Division, Why do we start dividion operation from left to right?

Why do we start dividion operation from left to right?

Properties of radicals, If n is positive integer greater than 1 and a & b b...

If n is positive integer greater than 1 and a & b both are positive real numbers then, Consider that on occasion we can let a or b to be negative and yet have these propert

Pair of straight lines, the adjacent sides of a parallelogram are 2x2-5xy+3...

the adjacent sides of a parallelogram are 2x2-5xy+3y2=0 and one diagonal is x+y+2=0 find the vertices and the other diagonal

Produce list containing m-vectors delta and lambda, The logarithm of the Po...

The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code: sum(log(outer(x,lambda,dpois) %*% delta)), where delta and lambda are m-ve

Calculate overhead in bit and time-synchronous communication, 2.    Suppose...

2.    Suppose a file of 35,000 characters is to be sent over a line at 55,000bps. 1. Calculate the overhead in bits and time using asynchronous transmission. Assume 1 start bit

Online tutoring, how can i find the online students ?

how can i find the online students ?

Lines- common polar coordinate graphs, Lines- Common Polar Coordinate Graph...

Lines- Common Polar Coordinate Graphs A few lines have quite simple equations in polar coordinates. 1.  θ = β We are able to see that this is a line by converting to Car

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