In: Statistics and Probability
Let X have a uniform distribution on the interval
[A, B].
(a)
Obtain an expression for the (100p)th percentile, x.
x =
(b)
Compute
E(X), V(X), and σX.
E(X)
=
V(X)
=
σX
=
(c)
For n, a positive integer, compute
E(Xn).
E(Xn)
=
Answer:
Given that:
Let X have a uniform distribution on the interval [A, B].
a) Obtain an expression for the (100p)th percentile, x.
b) Compute E(X), V(X), and σX.
c) For n, a positive integer, compute E(Xn).