What is the probability that a normal random variable with mean 2 and standard deviation 4...

What is the probability that a normal random variable with mean 2 and standard deviation 4 will be less than 3?

Expert Solution

Given Mean = 2

Standard Deviation = 4

Probability that the normal random vairable will be less than 3

We need to find P(X < 3)

z-score = (X - ) /

= (3 - 2) / 4

= 1/4

= 0.25

The area to the left of z-score 0.25 will give us P(X < 3) which can be found from the below attached table

P(X < 3) = 0.59871

orchestra answered 2 years ago

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