SOLUTION: X is a normally normally distributed variable with mean &#956; = 30 and standard deviation &#963; = 4. Determine P[30 < x, 35] to 4 decimal places.

Algebra ->  Probability-and-statistics -> SOLUTION: X is a normally normally distributed variable with mean &#956; = 30 and standard deviation &#963; = 4. Determine P[30 < x, 35] to 4 decimal places.      Log On


   



Question 979356: X is a normally normally distributed variable with mean μ = 30 and standard deviation σ = 4.
Determine P[30 < x, 35] to 4 decimal places.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z scores.
z%5B1%5D=%2830-30%29%2F4=0
z%5B2%5D=%2835-30%29%2F4=5%2F4
and their corresponding probabilities,
P%28z%5B1%5D%29=0.5
P%28z%5B2%5D%29=0.89435
So,
P=P%28z%5B2%5D%29-P%28z%5B1%5D%29
P=0.89435-0.5
P=0.3944