Suppose X is a normal random variable with mean of 70 and standard deviation of 4.The Z-score was calculated for a number,and it was 2.85.What is X?
A)58.6
B)81.4
C)65.8
D)75.7

Question

Quizplus · Accepted Answer

The Z-score formula is Z = (X - μ) / σ, where Z is the Z-score, X is the value in question, μ is the mean, and σ is the standard deviation. Plugging in the values: 2.85 = (X - 70) / 4. Solving for X gives X = 2.85 * 4 + 70 = 81.4.

Suppose X Is a Normal Random Variable with Mean of 70