Find the area from Z = 1.5 to Z= 2
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Step-by-step explanation:
Given Information:)
The area under the standard normal curve between the points z = 1.5 and z = 2.5 is to be obtained.
Usually, the required area is equal to the probability
P
(
1.5
<
Z
<
2.5
)
.
Using the standard normal table or z table, the area under the standard normal curve (z-curve) between the points z = 1.5 and z = 2.5 is calculated in the following way,
P
(
1.5
<
Z
<
2.5
)
=
P
(
Z
<
2.5
)
−
P
(
Z
≤
1.5
)
=
Φ
(
2.5
)
−
Φ
(
1.5
)
=
0.9937903
−
0.9331928
=
0.0605975
Therefore, the area under the standard normal curve between z = 1.5 and z = 2.5 is 0.0605975.
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