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In Exercise, the random variable x is normally distributed
Chapter , Problem 2CT(choose chapter or problem)
Problem 2CT
In Exercise, the random variable x is normally distributed with mean µ = 18 and standard deviation σ = 7.6.
Find each probability.
(a) P(x > 20)
(b) P(0<x<5)
(c) P(x<9 or x > 27)
Questions & Answers
QUESTION:
Problem 2CT
In Exercise, the random variable x is normally distributed with mean µ = 18 and standard deviation σ = 7.6.
Find each probability.
(a) P(x > 20)
(b) P(0<x<5)
(c) P(x<9 or x > 27)
ANSWER:
Solution
Given that x is a normal random variable
With mean
And standard deviation
Step 1 of 3
a) We have to find
The standard normal variable
Now
=0.26
Now look at the standard normal tables for
=1-0.60642
=0.39358
Hence =0.39358