Continuous uniform distribution, Mathematics

Assignment Help:

Continuous Uniform Distribution

Consider the interest earned on a bank deposit. Let X equal the value after the decimal point. (Assume no rounding off to the nearest paise.) For instance, if the interest = Rs.72.587, then X = 0.587.

X can take any value between 0 and up to but not including 1. We may assume that each value is equally likely. In which case, X is said to have a continuous Uniform Distribution.

Figure 

2082_continuous uniform distribution.png

The probability density function of a typical random variable is given by

242_continuous uniform distribution1.png

Note that the area under the curve equals 1.

It can be shown:

m = E(X) = (a + b)/2

s2 = V(X) = (b - a)2/12                              


Related Discussions:- Continuous uniform distribution

Higher-order derivatives, Higher-Order Derivatives It can be se...

Higher-Order Derivatives It can be seen that the derivative of a function is also a function. Considering f'x as a function of x, we can take the derivative

Calculate the net amount and distance, 1. A train on the Bay Area Rapid Tra...

1. A train on the Bay Area Rapid Transit system has the ability to accelerate to 80 miles/hour in half a minute. A.   Express the acceleration in miles per hour per minute. B

Three dimensional spaces - calculus, Three Dimensional Spaces In this ...

Three Dimensional Spaces In this section we will start taking a much more detailed look at 3-D space or R 3 ).  This is a major topic for mathematics as a good portion of Calc

Straight Line, can i known the all equations under this lesson with explana...

can i known the all equations under this lesson with explanations n examples. please..

Continuous Probability Distributions, Ask questioOn average, Josh makes thr...

Ask questioOn average, Josh makes three word-processing errors per page on the first draft of his reports for work. What is the probability that on the next page he will make a) 5

Calculate maximum area of the triangle, if the sum of lengths of hypotenuse...

if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

Regrouping, in regrouping if we have abig number in the end what should i d...

in regrouping if we have abig number in the end what should i do?add an number on top of it,please help

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