how to calculate the probability

How to calulate Pr(PWF<Pschedule). Pr is the probability, PWF is an array of power (24x1) say , Pschedule is the scheduled power (1x1) and its expectation value (E(PWF<Pschedule(PWF))

[David H]

I think you need lots more info in this question.

It looks like Pschedule is some function of PWF, but you haven't really said how. Is PWR a known array that you are inputting?

If you just want to know the probability an element of array "PWF" is smaller than the single number "Pschedule" you can do

mean(PWF<Pschedule)

Answer 1

[Chaman Dewangan]

If we have data then, the following MATLAB code can find probability.

%Create data
x=1.1:0.001:1.8;
x=x';% because fitdist function needs column vector
% Fit the probability distribution function.
% Here I have assumed normal distribution.
pd = fitdist(x,'Normal');
% mean and standard deviation are two parameters
mu1=pd.mu;
sigma1=pd.sigma;
% What is the probability? It is the area of probability density function
% for the given interval of random variable. 
% Which we read as integration in mathematics.
% I want to find the probability for between 1.211 and 1.25 
x2=[1.211:0.001:1.25];
y2 = pdf('Normal',x2,mu1,sigma1);
% trapz function is used to calculate the area for the given interval.
prob= trapz(x2, y2)