A random variable from an experiment where outcomes are normally distributed can have
A) any value between -$\infty$ and +$\infty$
B) only a few discrete values
C) a mean of 0 and a standard deviation of 1
D) no values

Question

Quizplus · Accepted Answer

The range of values for a normally distributed random variable is between negative infinity and positive infinity, but most of the values will be within three standard deviations of the mean. This means that for a normal distribution with mean μ and standard deviation σ, approximately 99.7% of the values will fall within the range μ ± 3σ. Therefore, the random variable can take any value between -∞ and +∞, but most of them will be within a certain range depending on the mean and standard deviation.

A Random Variable from an Experiment Where Outcomes Are Normally ∞\infty∞

A Random Variable from an Experiment Where Outcomes Are Normally $\infty$