Question

Given the following pairs of *z*-values, find the area
under the normal curve between each pair of *z*-values.
Refer to the table in Appendix B.1. **(Round the final
answers to 4 decimal places.)**

**a.** *z* = -2.4 and *z* = 1.5

**b.** *z* = -1.5 and *z* = -0.25

**c.** *z* = 1.68 and *z* = 2.8

**d.** *z* = -2.36 and *z* = 1.01

Answer #1

a) P(-2.4<=z<=1.5) = P(z<=1.5) - P(z<= -2.4) =
P(z<=1.5) - (1- P(z<=2.4)) = 0.93319 - (1-0.99180) =
**0.9250**

(From the standard normal distribution tables)

b) P(-1.5 <= z<= -0.25) = P(z<= -0.25) - P(z<= -1.5)

= (1- P(z<=0.25)) - (1- P(z<=1.5))

= P(z<=1.5) - P(z<=0.25) = 0.93319 - 0.59871 =
**0.3345**

c) P(1.68 <= z<= 2.8) = P(z<=2.8) - P(z<= 1.68) =
0.99744 - 0.95352 = **0.0439**

d) P(-2.36 <=z <= 1.01) = P(z<=1.01) - (1-
P(z<=2.36) = 0.84375 - (1-0.99086) = **0.8346**

**Note: All final valyes are rounded to 4
decimal**

Given the following pairs of z-values, find the area
under the normal curve between each pair of z-values.
Refer to the table in Appendix B.1. (Round the final
answers to 4 decimal places.)
a. z = -1.65 and z = 0.25
b. z = -1.75 and z =
-1.25
c. z = 1.43 and z = 2.52
d. z = -2.5 and z = 1.48

Given the following pairs of z-values, find the area
under the normal curve between each pair of z-values.
Refer to the table in Appendix B.1. (Round the final
answers to 4 decimal places.)
a. z = -0.3 and z = 2
b. z = -2.25 and z = -0.6
c. z = 1.45 and z = 2.71
d. z = -2.52 and z = 1.61

The values of z-score are given.
1a.) Find the area under the normal curve to the right of
z = -0.86. Round the answer to four decimal places.
The area under the normal curve to the right of z =
-0.86 is ____.
1c.) Find the area under the normal curve between z =
-0.32 and z = 0.92. Round the answer to four decimal
places.
The area under the normal curve between z = -0.32 and
z = 0.92...

Find the area under the standard normal curve that lies between
the following two z values. Round your answers to at least four
decimal places.
(a)Find the area under the standard normal curve that lies
between = z − 1.28 and = z 1.36 .
(b)Find the area under the standard normal curve that lies
between = z − 2.17 and = z − 1.92 .
(c)Find the area under the standard normal curve that lies
between = z 1.36...

1)
a) Find the area under the Standard Normal Curve in-between z =
-0.59 and z = 2.86
Use the Normal table and give answer using 4 decimal places.
b) Find the area under the Standard Normal Curve in-between z =
-0.36 and z = 2.63
Use the Normal table and give answer using 4 decimal places.
c) Find P(z < 1.75)
Use the Normal table and give answer using 4 decimal places.

1. Calculate the area under the normal curve that lies between
the given values of Z.
a) Z = -1.85 and Z = 1.85
b) Z = 0 and Z = 2.37
c) Z = -2.77 and Z = -0.96

a)Find the area under the standard normal curve between
z = -1.86 and z = 1.1, P(-1.86 <
z < 1.1). (Give your answer correct to four decimal
places.)
b)Find the area under the standard normal curve between
z = -2.53 and z = 1.4, P(-2.53 <
z < 1.4). (Give your answer correct to four decimal
places.)
c)Consider the normal curve. (Give your answers correct to four
decimal places.)
1) Find the area to the right of z =...

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...

Find the area under the normal curve between the following
(hint: draw the picture) a) Z - -1.2 and Z = 2.4

Find the area under the standard normal curve to the left of
z=−2.8 and to the right of z=2.06. Round your answer to four
decimal places, if necessary.

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