Probability - applications of integrals, Mathematics

Assignment Help:

Probability - Applications of integrals

In this final application of integrals that we'll be looking at we are going to look at probability.  Previous to actually getting into the applications we require to get a couple of definitions out of the way. 

Assume that we wish to look at the age of a person, height of a person, amount of time spent waiting in line, or maybe the lifetime of a battery.  Every quantity have values that will range over an interval of integers.  Due to this these are termed as continuous random variables.  Continuous random variables are frequently presented by X.

 Each continuous random variable, X, has a probability density function, f(x).Probability density functions that satisfy the following conditions.

1. f (x) > 0 for all x

2. ∫ -∞  f (x) dx = 1

Probability density functions can be employed to find out the probability that a continuous random variable lies among two values, say a and b. 

This probability is represented by P (a < X < b) and is illustrated by,

P (a < X < b)

=∫ba f(x) dx


Related Discussions:- Probability - applications of integrals

Complex numbers, find the modulus Z=(2-i)(5+i12)/(1+i2)^3

find the modulus Z=(2-i)(5+i12)/(1+i2)^3

Calculus, I need help with my calculus

I need help with my calculus

Numerical analysis and computer techniques, write a fortan programme to gen...

write a fortan programme to generate prime number between 1 to 100

How far did the ?rst arrow goes, From a fixed point directly in front of th...

From a fixed point directly in front of the center of a bull's eye, Kim aims two arrows at the bull's eye. The first arrow nicks one point on the edge of the bull's eye; the second

Rounding whole numbers, Rounding whole numbers List the order in which ...

Rounding whole numbers List the order in which nancy, amy, ethel and cindy line up in single file to board the school bus. Then match the girls with their heights, which are fo

Apply depth-first-search to find out the spanning tree, Apply depth-first-s...

Apply depth-first-search to find out the spanning tree for the subsequent graph with vertex d as the starting vertex.        Ans: Let us begin with node'd'. Mark d as vi

Objectives of helping children learn mathematics, Objectives After stud...

Objectives After studying this leaarn maths; you should be able to explain why a teacher needs to know the level of development of hi; her learners; identify the way

Use newtons method to find out an approximation, Use Newton's Method to fin...

Use Newton's Method to find out an approximation to the solution to cos x = x which lies in the interval [0,2].  Determine the approximation to six decimal places. Solution

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