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

Logarithms, find any integer from 1-128 on a logarithmic scale

find any integer from 1-128 on a logarithmic scale

Exponets, what does the three mean in the power ?

what does the three mean in the power ?

Find the rate at which its tip is moving, If the minute hand of a big clock...

If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.

Fractions rates and ratios, In 6th grade I am learning about ratios rates a...

In 6th grade I am learning about ratios rates and fractions. I am working on vmathlive.com and need serious.

First order differential equations, In this section we will consider for so...

In this section we will consider for solving first order differential equations. The most common first order differential equation can be written as: dy/dt = f(y,t) As we wil

Determine the second derivative of q (t ) = sec (5t ), Determine the secon...

Determine the second derivative for following functions.                             Q (t ) = sec (5t ) Solution : Following is the first derivative.              Q′ (t

Construction, draw a equilateral triangle with length of side 6.5 cm. and l...

draw a equilateral triangle with length of side 6.5 cm. and let us draw a parallelogram equal in area to that triangle and having an angle 45 degree

Two circles touch each other externally, Two circles touch each other exter...

Two circles touch each other externally: Given: Two circles with respective centres C1 and C2 touch each other externaly at the point P. T is any point on the common tangent

Decimals, what is 1/5 + 1/8 equals?

what is 1/5 + 1/8 equals?

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