CDF to PDF- PDF from CDF- Cumulative Distribution Function (CDF)- Probability Density Function (PDF)

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This video discusses a problem on CDF and PDF. Here you will understand how to find probability density function (PDF) from cumulative distribution function (CDF).
The relation between PDF and CDF has been explained.
While solving this problem on probability distribution, it will be clear that how can we use the formula for the relationship between CDF and PDF.
The properties of probability density function have been used to solve this problem.
In this problem you will know that we can get the probability density function (PDF) by simply differentiating the Cumulative distribution function (CDF).
In this problem, we need to find that, whether the given function is a cumulative distribution function or not.

Random Variables and Probability Distribution

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Thank you sir, your explanation level is very easy

Pratapbhanu
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Shouldnt the graph of f(x) be 1/2a (constant) between -a to a?

shrutibansal
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Sir how we find characteristics function and mean and variance for this given value. Means jo apka question ha wahi same
Plz sir reply

physicst
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thank u sir = very good =pls suggest book

kaursingh
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How did you found that differentiation of cdf is pdf?
I want to know.

গোলামমোস্তফা-শ৮থ
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Sir explain correctly please.
How the third integral becomes zero.
And how you wrote (1/2(x/a)+1) as (1/2)x

S-ms