A Random Variable X Is Normally Distributed with = 60 $$X = 72 ; \sigma = 3$$

question 45

Multiple Choice

A random variable X is normally distributed with = 60. Convert the value of X to a z-score, if the standard deviation is
as given.
- $$X = 72 ; \sigma = 3$$

• A) 4
• B) 12
• C) 5
• D) 3

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Definitions:

Average

A statistical measure representing the central or typical value in a set of data, often calculated as the sum of the values divided by the number of values.

Increase in Value

The appreciation or growth in the worth of an asset or investment over time.

Future Value

The value of a current asset at a future date based on an assumed rate of growth over time, calculated using compounding interest.

Interest

The cost of borrowing money or the return on investing capital, typically expressed as a percentage rate.