show probabilities (-inf+inf, -3dev-3dev and so on....)

2021 1 28
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show probabilities (-inf+inf, -3dev-3dev and so on....)
>> mu = 12.5;
sigma = 3.75;
xs = [0:.01:25];
ys = normpdf(xs, mu, sigma);
clf;
plot(xs, ys);
Follow with the mean and std

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Amer Al-Maashani
Amer Al-Maashani 2021-1-28
show probabilities (-inf+inf, -3dev-3dev and so on....)
Follow with the mean and std
John D'Errico
John D'Errico 2021-1-28
show what probabilities? Mean and std of what? What is your question?
Amer Al-Maashani
Amer Al-Maashani 2021-1-28
showing (-inf+inf, -3dev-3dev) probabilities in Matlab. mean = 12.5 , std=3.75
James Tursa
James Tursa 2021-1-28
Can you copy & paste the actual wording of the assignment?
Amer Al-Maashani
Amer Al-Maashani 2021-1-28
it is not an assignment. I have this example which plotting the pdf function.
matlab code:
>> mu = 12.5; % mean
sigma = 3.75; % standard deviation
fh=@(x) exp(-((x-mu).^2)./(2*(sigma^2)))*(1/sqrt(2*pi*(sigma^2))); % PDF function
X = 0:.01:25;
p = plot(X,fh(X),'b-')
and my teacher is asking me this question.
show probabilities (-inf+inf, -3dev-3dev and so on....)
Follow with the mean and std
John D'Errico
John D'Errico 2021-1-28
I think it is your teacher you need to talk to, to explain what you are asked to do.
James Tursa
James Tursa 2021-1-28
"show probabilities (-inf+inf, -3dev-3dev and so on....)"
I have no idea what is being asked for here. Cumulative probability between the two values? Or ...?
Amer Al-Maashani
Amer Al-Maashani 2021-1-28
'by integrating pdf You can find the probability of the signal apperance in given level ranges' teacher's explanation.

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 采纳的回答

James Tursa
James Tursa 2021-1-28
编辑：James Tursa 2021-1-28

1 个投票

"Integrating pdf" and "probability ... in given level ranges" sounds like the teacher wants you to use the cdf to get the cumulative probability between a range of values. E.g., maybe this is what is being asked:
>> mu = 12.5;
>> sigma = 3.75;
>> pd = makedist('Normal','mu',mu,'sigma',sigma); % Make a Normal pdf
>> cdf(pd,inf) - cdf(pd,-inf) % the integrated probablility between -inf and +inf
ans =
1
>> cdf(pd,mu+3*sigma) - cdf(pd,mu-3*sigma) % the integrated probablity between mu-3sigma and mu+3sigma
ans =
0.9973

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