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

Fractions, how do I solve 14/27 - 23/27 =

how do I solve 14/27 - 23/27 =

Which mathematical property did marty use to get similar ans, Marty used th...

Marty used the subsequent mathematical statement to show he could change an expression and still get the similar answer on both sides: 10 × (6 × 5) = (10 × 6) × 5 Which mathematica

Properties of dot product - vector, Properties of Dot Product u → • (v...

Properties of Dot Product u → • (v → + w → ) = u → • v → + u → • w →          (cv → ) • w → = v → •(cw → ) = c (v → •w → ) v → • w → = w → • v →

Marketing mix, 1) Identify key characteristics of product or services and e...

1) Identify key characteristics of product or services and estimate their significance to the market 2) Identify and analyse level of customer service provision to determine its si

Help, how long would it take if a submarine if it goes 3 feet per minute to...

how long would it take if a submarine if it goes 3 feet per minute to get to 20000 answer

Simple interest, find the simple interest on Rs. 68,000 at 50/3 per annum f...

find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month

Factorization of expressions, Above we have seen that (2x 2 - x + 3)...

Above we have seen that (2x 2 - x + 3) and (3x 3 + x 2 - 2x - 5) are the factors of 6x 5 - x 4 + 4x 3 - 5x 2 - x - 15. In this case we are able to find one facto

Normal distribution, Normal Distribution Figure 1 The norm...

Normal Distribution Figure 1 The normal distribution reflects the various values taken by many real life variables like the heights and weights of people or the ma

Calculate values of the derivative, First, see that the right hand side of ...

First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the

How to raise powers of monomials, How to raise Powers of Monomials ? To ...

How to raise Powers of Monomials ? To raise a monomial to a certain power: Step 1: Place the entire monomial inside parentheses, and place the desired power outside the paren

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