Question

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* = 0.00.

2) Find the area to the right of *z* = 1.19

3) Find the area to the right of *z* = -1.4.

4) Find the area to the left of *z* = 1.75.

5) Find the area to the left of *z* = -1.75.

d)Consider the following. (Give your answers correct to four decimal places.)

(a) Find *P*(0.00 < *z* < 2.15).

(b) Find *P*(-1.87 < *z* < 2.07).

(c) Find *P*(*z* > 0.10).

(d) Find *P*(*z* < 1.53).

Answer #1

a) P(-1.86 < Z < 1.1)

= P(Z < 1.1) - P(Z < -1.86)

= 0.8643 - 0.0314

= 0.8329

b) P(-2.53 < Z < 1.4)

= P(Z < 1.4) - P(Z < -2.53)

= 0.9192 - 0.0057

= 0.9135

c) 1) P(Z > 0)

= 1 - P(Z < 0)

= 1 - 0.5000

= 0.5000

2) P(Z > 1.19)

= 1 - P(Z < 1.19)

= 1 - 0.8830

= 0.1170

3) P(Z > -1.4)

= 1 - P(Z < -1.4)

= 1 - 0.0808

= 0.9192

4) P(Z < 1.75)

= 0.9599

5) P(Z < -1.75)

= 0.0401

a) P(0 < Z < 2.15)

= P(Z < 2.15) - P(Z < 0)

= 0.9842 - 0.5

= 0.4842

b) P(-1.87 < Z < 2.07)

= P(Z < 2.07) - P(Z < -1.87)

= 0.9808 - 0.0307

= 0.9501

c) P(Z > 0.1)

= 1 - P(Z < 0.1)

= 1 - 0.5398

= 0.4602

d) P(Z < 1.53)

= 0.9370

Find the area under the standard normal curve to the left of
z=−1.51z=−1.51 and to the right of z=1.4z=1.4. Round your answer to
four decimal places, if necessary.

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.

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indicated interval and find the specified area. (Round your answer
to four decimal places.)
The area to the left of z = −1.34 is
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indicated interval...

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