# Find the proportion of scores greater than 70 mean is 90 standard deviation is 10

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Find the proportion of scores greater than 70 mean is 90 standard deviation is 10

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Step 1

The standard normal distribution:

A continuous random variable Z is said to follow standard normal distribution if the probability density function of Z is,

Step 2

Z-score:

The Z-score measures a particular value’s relationship to the mean in a group of values. It gives the number of standard deviation from the mean for the particular data point.

The general formula to obtain Z-score is,

Z = (x – population mean) / population standard deviation.

Step 3

Here, the score, say X, has mean 90 and standard deviation 10. Thus, the p...

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