ANSWER ALL WITH SOLUTIONS AND GRAPH, JUST LIKE IN THE EXAMPLE GIVEN . Find the area under the Normal Curve:a. between z = 0 and z = -1.65b. to the right of z = -0.95c. to the left of z = 0.35d. between z = -1.35 and z = 2.95e. to the left of z = -1.69 EXAMPLE 4: Find the area between z = -1.25 and z = 1.25.SOLUTION:STEP 1.Sketch the normal curve.Since -1.25 is negative it issomewhere to the left of 0.And since 1.25 is positive it issomewhere to the right of 0.-3 -2 -1123STEP 2.Let A = area between z = -1.25 and z = 1.25A1= area between z = 0 and z =From the table A1 = 0.3944%3D-1.25.A2= area between z = 0 and z =1.25.From the table A2 = 0.3944Therefore, A = A1 + A2 = 0.3944 + 0.3944 = 0.7888The area between z = -1.25 and z = 1.25 is 0.7888.

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Answered: area under the Normal Curve:

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A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

ANSWER ALL WITH SOLUTIONS AND GRAPH, JUST LIKE IN THE EXAMPLE GIVEN

. Find the area under the Normal Curve:
a. between z = 0 and z = -1.65
b. to the right of z = -0.95
c. to the left of z = 0.35
d. between z = -1.35 and z = 2.95
e. to the left of z = -1.69

EXAMPLE 4: Find the area between z = -1.25 and z = 1.25.
SOLUTION:
STEP 1.
Sketch the normal curve.
Since -1.25 is negative it is
somewhere to the left of 0.
And since 1.25 is positive it is
somewhere to the right of 0.
-3 -2 -1
1
2
3
STEP 2.
Let A = area between z = -1.25 and z = 1.25
A1= area between z = 0 and z =
From the table A1 = 0.3944
%3D
-1.25.
A2= area between z = 0 and z =
1.25.
From the table A2 = 0.3944
Therefore, A = A1 + A2 = 0.3944 + 0.3944 = 0.7888
The area between z = -1.25 and z = 1.25 is 0.7888.

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