How to find PDF, CDF and the probability at a certain point from histogram ?

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may 2013-9-18

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https://ww2.mathworks.cn/matlabcentral/answers/87592-how-to-find-pdf-cdf-and-the-probability-at-a-certain-point-from-histogram

Suppose that I have an array of random numbers, e.g.

X=randn(1,1000);
hist(X,100);

Using the histogram ,I want to find and plot the PDF and CDF of X, and for a constant value a, I also want to find the probabilities P(X=a) and P(X<=a).

Any help would be appreciated. Thank you.

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Image Analyst 2013-9-18

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https://ww2.mathworks.cn/matlabcentral/answers/87592-how-to-find-pdf-cdf-and-the-probability-at-a-certain-point-from-histogram#answer_97153

Is this homework? Hint: just take the counts return argument from hist() and normalize the counts array by the total number of counts. Then get cdf by using cumsum() on the normalized counts.

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may 2013-9-18

thanks a lot!

may 2013-9-25

编辑：may 2013-9-25

just a question; when I change the number of bins in hist function, I get different PDF's, the shape is the same but the numbers on Y axis are different! any help would be appreciated.