z is a standard normal random variable. If the area to the left of z is 0.2325, z = Blank 1.
Answers
Answer:
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Step-by-step explanation:
All we need to do is find the corresponding areas for our z-scores in the table.
Using the table below (this variant of which is from chegg.com), we can see that
the area of the curve to the left of
z
=
−
1.20
is
.1151
and the area of the curve to the left of
z
=
1.40
is
.9192
To find the area between two z-scores, we subtract the smaller one from the larger one:
.9192
−
.1151
=
.8041
to come up with our answer.
z ≈ -0.731 If the area to the left of z is 0.2325, z is a standard normal random variable.
Given:
- z is a standard normal random variable
- Area to the left of z is 0.2325
To Find:
- z = 1
Solution:
- Normal Distribution has bell curve
- z represent number of standard deviation from Mean
- z = 0 represent means
- for z = 0 Data on left sides and right side is 50 %
- For Data less than 50% on left size z is -ve
- For Data more than 50% on left size z is +ve
Using Z table
-0.72 value of z represent area 0.2358 on left side
-0.73 value of z represent area 0.2327 on left side
-0.74 value of z represent area 0.2296 on left side
Hence for 0.2325, z ≈ -0.731
z ≈ -0.731 If the area to the left of z is 0.2325
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