Normal Distribution Exercise Set
I.
1) The random variable Z has µ = ______ and
σ
= _____.
2) P(0 <
z <
1.53) =
3) P( z > 2.18) =
4) Find the value of z
o
, such that P( z
o
<
z <
z
o
) = .92.
5) Find the value of z
o
, such that P(z <
z
o
) = .3015.
II.
The random variable X is normally distributed with mean
80 and standard
deviation 12.
1) What is the probability that a value of X chosen at random will be between 65 and
95?
2) What is the probability that a value of X chosen at random will be less than 74?
III
. The random variable X is normally distributed with mean 65 and standard
deviation 15. Find x
o
, such that P(x >
x
o
) = .6738.
IV
. The scores on a placement test have a moundshaped distribution with mean 400 and
standard deviation 45.
1) What percentage of people taking this exam will have scores of 310 or greater?
2) What percentage of the people taking this test will have scores between 445 and
490?
V.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 STAFF
 Normal Distribution, Standard Deviation, Probability theory, zo, 0.62%

Click to edit the document details