Question

Assume a standard Normal distribution. Draw a well-labeled Normal curve for each part.

a. Find the z-score that gives a left area of 0.7303

b. Find the z-score that gives a left area of 0.1647

Answer #1

a.

We need to find z such that:

Using standard normal tables/ excel we get:

The following is obtained graphically:

b)

We need to find z such that:

Using standard normal tables/ excel we get:

The following is obtained graphically:

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17)Draw the standard normal distribution. Shade the area to the
between of -2.68 and 1.49. Find the shaded area.
18)Draw the standard normal distribution. Shade the area to the
left of the z-score is 0.907. Find the z-score.

Find the area under the standard normal distribution curve for
each of the following. (
a.) Between z = 0 and z = -2.34
b.) To the right of z = -2.11
c.) To the left of z = 1.31
d.) To the left of z = - 1.45
e.) To the right of z = - .85

Find the area under the standard normal curve below. Draw a
graph and shade the area you are trying to find to the left of z =
1.85.

2. a) Find the area under the standard normal curve to the right
of z = 1.5.
b) Find the area under the standard normal curve to the left of
z = 1.
c) Find the area under the standard normal curve to the left of
z = -1.25.
d) Find the area under the standard normal curve between z = -1
and z = 2.
e) Find the area under the standard normal curve between z =
-1.5 and...

a) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4; σ = 6
P(1 ≤ x ≤ 13) =
b) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 103; σ = 20
P(x ≥ 120) =
c) Find z such that 5%...

1. Find the area under the standard normal curve to the left of
z = 1.66.
2. Find the area under the standard normal curve between z =
-1.75 and z = 0.96.
3. Find the z-score for which the area to its right is 0.67.
4. A normal population has mean 176=m and a standard deviation
.38=s What proportion of the population is more than 185?

Using the standard normal distribution determine:
a) The area under the curve to the left of z=-2.38
b) The area under the curve to the right of z=1.17
c) The area under the curve between z=-1.52 and z=2.04

Q1-. A normal distribution has a mean of 15 and a standard
deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
Q2-.Tyrell's SAT math score was in the 64th percentile. If all
SAT math scores are normally distributed with a mean of 500 and a
standard deviation of 100, what is Tyrell's math score? Round your
answer to the nearest whole number.
Q3-.Find the z-score that cuts off an area...

1. Sketch the area under the standard normal curve over the
indicated interval and find the specified area. (Round your answer
to four decimal places.)
The area between z = 0 and z = 3.00 is
______.
2. Sketch the area under the standard normal curve over the
indicated interval and find the specified area. (Round your answer
to four decimal places.)
The area between z = 0.41 and z =
1.82 is ______.
3. Let z be a random...

Find the value of z if the area under a standard normal curve
(a) to the right of z is 0.3974; (b) to the left of z is 0.0918;
(c) between 0 and z, with z > 0, is 0.4783; and (d) between -z
and z, with z > 0, is 0.9412
also i think you need to use the standard normal distribution
table.

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