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# Normal distribution problem

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A) X~N(10,20). Then, P(X > 0)=P(X < 0)True or False.

https://brainmass.com/statistics/probability/normal-distribution-events-20703

## SOLUTION This solution is FREE courtesy of BrainMass!

The notation X~N(10,20) means that the variable X has a normal distribution with mean 10 and standard deviation 20.

One way to solve this problem is to evaluate P(X>0) and P(X<0) and see if the probabilities are the same. In each case, find the Z-score and then look up the probability in the standard normal table.

(see calculation details in attached document)

Since these probabilities are not the same, the statement is False.

This solution shows how to find probabilities of events from a known normal probability distribution.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!