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Normal distributions: Z scores and probabilities

A continuous random variable, x, is normally distributed with a mean of $1000 and a standard deviation of $100. Convert each of the following x values into its corresponding z-score.

a. x = $1000
b. x = $750
c. x = $1100
d. x = $950
e. x = $1225

2.Using the standard normal table, find the following probabilities associated with z:
a. P(0.00 , z , 1.25)
b. P(-1.25 < X < 0.00)
c. P(-1.25 < x < 1.25)

Solution Summary

this solution shows how to calculate z scores and find probabilities with normal distributions

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