A random variable X has a normal distribution with mean 132 and variance 36.If x = 120,its corresponding value of Z is 2.0.

Question

Quizplus · Accepted Answer

To find the corresponding value of Z, we use the formula:

Z = (X - μ) / σ

where X is the observed value, μ is the mean, and σ is the standard deviation (not the variance).

In this case, we are given that X = 120, μ = 132, and σ = √36 = 6.

Plugging these values into the formula, we get:

Z = (120 - 132) / 6 = -2

Therefore, the statement "If x = 120, its corresponding value of Z is 2.0" is false.

A Random Variable X Has a Normal Distribution with Mean