Please help. Will give brainliest to correct answer.
2 answers:
You might be interested in
The only thing you can do with this expression is to factor a 5 out of the two terms: we have
I'll leave the computation via R to you. The are distributed uniformly on the intervals
, so that
each with mean/expectation
and variance
We have
so that
Now,
and
We have
because and
are independent when
, and so
giving a variance of
and so the standard deviation is
# # #
A faster way, assuming you know the variance of a linear combination of independent random variables, is to compute
and since the are independent, each covariance is 0. Then
and take the square root to get the standard deviation.