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Topic
Statistics
Study Set
Modern Elementary Statistics
Quiz 9: The Normal Distribution
Path 4
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Question 21
Short Answer
The graph shows the distribution of a continuous random variable that takes on values on the continuous interval from -2 to 2 . Find the probability that this random variable will take on the value indicated.
-Between -1 and 1
Question 22
Short Answer
The graph shows the distribution of a continuous random variable that takes on values on the continuous interval from -2 to 2 . Find the probability that this random variable will take on the value indicated.
-Between
1
/
2
1 / 2
1/2
and
3
/
2
3 / 2
3/2
Question 23
Short Answer
The graph shows the distribution of a continuous random variable that takes on values on the continuous interval from -2 to 2 . Find the probability that this random variable will take on the value indicated.
-Between -2 and -1
Question 24
Short Answer
Find the standard normal-curve area indicated using the normal table. -Between
z
=
−
1.3
\mathrm{z}=-1.3
z
=
−
1.3
and
z
=
−
0.4
\mathrm{z}=-0.4
z
=
−
0.4
Question 25
Short Answer
Find the standard normal-curve area indicated using the normal table. -To the left of
z
=
0.67
z=0.67
z
=
0.67
Question 26
Short Answer
Find the standard normal-curve area indicated using the normal table. -To the left of
z
=
−
0.54
z=-0.54
z
=
−
0.54
Question 27
Short Answer
If a random variable has the normal distribution with
μ
=
30
\mu=30
μ
=
30
and
σ
=
5
\sigma=5
σ
=
5
, find the probability that it will take on the indicated value. -Less than 32
Question 28
Short Answer
If a random variable has the normal distribution with
μ
=
30
\mu=30
μ
=
30
and
σ
=
5
\sigma=5
σ
=
5
, find the probability that it will take on the indicated value. -Between 31 and 35
Question 29
Short Answer
If a random variable has the normal distribution with
μ
=
30
\mu=30
μ
=
30
and
σ
=
5
\sigma=5
σ
=
5
, find the probability that it will take on the indicated value. -Between 24 and 28
Question 30
Short Answer
Find the following
z
z
z
values. -z
0.05
Question 31
Short Answer
Find the following
z
z
z
values. -z
0.45
Question 32
Short Answer
Find the following
z
z
z
values. -z
0.65
Question 33
Short Answer
Find the following
z
z
z
values. -z
0.90
Question 34
Short Answer
Find
z
z
z
if the normal curve area to the right of
z
z
z
is 0.8997 .
Question 35
Short Answer
Find
z
z
z
if the normal curve area to the left of
z
z
z
is 0.1611 .
Question 36
Short Answer
A normal distribution has mean
μ
=
60
\mu=60
μ
=
60
. If
15.87
%
15.87 \%
15.87%
of the area under the curve is to the left of 54 , find the area to the right of 64.
Question 37
Short Answer
A normal distribution has mean
μ
=
60
\mu=60
μ
=
60
. If
15.87
%
15.87 \%
15.87%
of the area under the curve is to the left of 54 , find the area between 58 and 63 .
Question 38
Short Answer
The number of ounces of soda that a vending machine dispenses per cup is normally distributed with a mean of 12 ounces and a standard deviation of 4 ounces. -Find the probability that more than 16 ounces is dispensed in a cup.