Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
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
The Shape of a Graph, Part I : In the earlier section we saw how to employ the derivative to finds out the absolute minimum & maximum values of a function. Though, there is many
Find the centre of a circle passing through the points (6, -6), (3, -7) and (3,3).Also find the radius.
The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m 3 . Find the rate of change of the volume of grains in the silo from first pri
A compound fraction is a fraction that has other fractions inside its numerator or denominator. Here's an example: While compound fractions can look really hairy, they're r
The Mean Value Theorem for Integrals If f(x) is a continuous function on [a,b] then here is a number c in [a,b] thus, a ∫ b f(x) dx = f(c)(b -a) Proof Let's begin
Example for Comparison Test for Improper Integrals Example: Find out if the following integral is convergent or divergent. ∫ ∞ 2 (cos 2 x) / x 2 (dx) Solution
Apply the concept of partial fraction and add the corresponding terms. The terms will get cut automatically leaving the first and last term
How far will a bowling ball goes in one rotation if the ball has a diameter of 10 inches? (π = 3.14) 1. 78.5 in 2. 31.4 in 3. 62.8 in 4. 15.7 in 2. The circumfere
Draw the parametric curve for the subsequent set of parametric equations. X = t 2 +t Y=2t-1 -1 t 1 Solution Note that the only dissimilarity here is the exis
Samantha owns a rectangular field that has an area of 3,280 square feet. The length of the field is 2 more than twice the width. What is the width of the field? Let w = the wid
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd