Find the value of µ, if X is a normal random variable, with standard deviation 2, and 2.5% of the values are below 1?
A)−2.92
B)1.96
C)4.92
D)None of these choices are correct.

Question

Quizplus · Accepted Answer

Using the standard normal distribution table, we can find that the z-score corresponding to the 2.5th percentile is -1.96. 
Therefore, we have:

1 = µ + (-1.96)(2)
 
Solving for µ, we get:

µ = 1 + 3.92 = 4.92

Find the Value of µ, If X Is a Normal