The standard deviation of any normal random variable is always equal to one.*2 pointsFALSETRUE
Question
The standard deviation of any normal random variable is always equal to one.
2 points
FALSE
TRUE
Solution
To determine if the statement is true or false, we need to understand the concept of standard deviation in a normal random variable.
Step 1: Recall that the standard deviation measures the spread or variability of a set of data. It tells us how much the values in the data set deviate from the mean.
Step 2: In a normal distribution, the standard deviation can vary. It is not always equal to one. The standard deviation depends on the specific distribution and the data being analyzed.
Step 3: Therefore, the statement "The standard deviation of any normal random variable is always equal to one" is FALSE. The standard deviation can have different values depending on the specific normal distribution.
Conclusion: The statement is false. The standard deviation of any normal random variable is not always equal to one.
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