A continuous random variable X is normally distributed with a mean of 1200 and a standard deviation of 150.Given that X = 1410,its corresponding Z-score is 1.40.

Question

Quizplus · Accepted Answer

The Z-score formula is:

Z = (X - μ) / σ

Where,
X = Given value (1410)
μ = Mean (1200)
σ = Standard deviation (150)

Substituting the given values in the formula, we get:

Z = (1410 - 1200) / 150
Z = 210 / 150
Z = 1.4

Therefore, the corresponding Z-score for X = 1410 is 1.40. Hence, the answer is true.

A Continuous Random Variable X Is Normally Distributed with a Mean