The area of shaded region is 0.171.
Given z-score is z = 0.95.
We have to calculate P(z > 0.95).
We can write this as
P(z > 0.95) = 1 - P(z < 0.95)
From the z-table we know that
P(z < 0.95) = 0.828
We will put this value in above equation, we get
P(z > 0.95) = 1 - 0.828
Therefore
P(z > 0.95) = 0.171.
Z-score tables are very useful in determining the probabilities of normally distributed random variables. The z-score standardizes the normally distributed variable to make any normal distribution fit into the standard normal distribution.
The z-score is calculated using the random variable, the mean, and standard deviation of a particular normal distribution of variables.
To know more about Z-score here
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