A random variable X has a normal distribution, with a mean of 10 and a standard deviation of 2. What will be the z-score for a value of 5?a.-2.5b.-5.0c.5.0d.2.5
Question
A random variable X has a normal distribution, with a mean of 10 and a standard deviation of 2. What will be the z-score for a value of 5?a.-2.5b.-5.0c.5.0d.2.5
Solution
The z-score is calculated by subtracting the mean from the value and then dividing by the standard deviation.
In this case, the value is 5, the mean is 10, and the standard deviation is 2.
So, the calculation would be:
(5 - 10) / 2 = -5 / 2 = -2.5
So, the z-score for a value of 5 is -2.5.
Therefore, the correct answer is a. -2.5.
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