Answer:
E. 0.6825
Step-by-step explanation:
P(-1.25 < Z < 0.80)
= P(Z < 0.80) − P(Z < -1.25)
Using a z-score table:
= 0.7881 − 0.1056
= 0.6825
A Z-score helps us to understand how far is the data from the mean. The area of the shaded region between the two z-scores indicated in the diagram is 0.6825.
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The shaded area can be represented as,
P(0.80≥Z≥-1.25) = P(0.80≥Z) - P(-1.25≥Z)
Using the Z-table,
= 0.7881 - 0.1056
= 0.6825
Hence, the area of the shaded region between the two z-scores indicated in the diagram is 0.6825.
Learn more about Z-score:
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