SOLUTION: If X represents a random variable coming from a normal distribution with mean 5 and if P( X > 6.1) =0.2, then P( 5 < X 6.1) =0.3. True False

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: If X represents a random variable coming from a normal distribution with mean 5 and if P( X > 6.1) =0.2, then P( 5 < X 6.1) =0.3. True False      Log On


   

Question 1182515: If X represents a random variable coming from a normal distribution with mean 5 and if P( X > 6.1) =0.2, then P( 5 < X 6.1) =0.3.
True
False
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


TRUE

Normal distribution means the probabilities are symmetrical about the mean.

With a mean of 5, that means the probability of x greater than 5 is 0.5.

So if the probability of x greater than 6.1 is 0.2, then the probability of x between 5 and 6.1 is 0.5-0.2=0.3.