# Normal distribution :Probability and conditional probability

X~N(500,400) Determine the following

Random Variable X

a) P( X <= 515 )

b) P( X <= 515 | X > 450 ) (note: "|" implies given)

c) P( 20 < X^(1/2) <= 25 ) ( i.e. 20 < "square root of X" < 25 )

please clearly state each step for each part. The attached file states the problem again.

© BrainMass Inc. brainmass.com May 20, 2020, 5:09 pm ad1c9bdddfhttps://brainmass.com/math/probability/normal-distribution-probability-conditional-probability-209915

#### Solution Summary

This provides examples of calculating probability and conditional probability from normal distributions.

$2.19