Explain how the population mean, mue, and the expectation,E(X),are related.?

Answer 1

To answer your question, i need to give u an example.
Consider all real integers from 1 to 10. Let this be our population.
Now i draw a sample, let this sample be x
x ={ 3, 4, 5, 6}
to find population mean, divide the sum of (all integers from 1 to 10) by 10. This will give you 5.4
now our population mean is = 5.4
Consider the sample x now.
expectation is the mean of a sample.
E(X) = (3 + 4 + 5 + 6)/4 = 4.5
Now, if you take a larger sample (y)
y = { 2, 3, 4, 5, 6, 7, 8, 9}
E(Y) = (2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)/8 = 5.5
compare this with the population mean, which is 5.4.
Therefore, if you take a sample of N distinct numbers, where N <10,
"the expectation of the sample will converge to the population mean as N approaches 10." - this is how the population mean and the expectation of a sample are related.

Answer 2

okay!
my keyboard is not functioning properly so please avoid the mistakes.
well
population mean is the mean which is taken from the whole population of any city,object or any phenomenon
when you take the whole values from which the sample is drawn and then add them, you get the total of them and then divide this total by the total numbers of the population 's values. the value so got is parametric value.
u is the popolution mean or parameter which is always equal to u=ux
when the means/averages taken from the samples values are multiplied by the expected frequencies of the means of sample and when we get the total of these figure that is Xf(x)_it will become EXF(X)and
u which is population mean(parametric value)=EXF(X)(statistic value)

Answer 3

mean and mue means the same thing. and E(X) is basically the mean multiplied by the number of trials of getting sth.