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

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.

Quizplus · Accepted Answer

We know that for a normal distribution, approximately 2.5% of the values are  below µ-1.96σ. Therefore, µ-1.96σ=1.

Since the standard deviation is given as 2, we get µ-1.96(2)=1, which gives µ=4.92.

Find the Value of µ, If X Is a Normal