If random variable X follows the Normal distribution XNormal
If random variable X follows the Normal distribution. X~Normal(10,10). Which among the following statements are correct?
P(X<=10)=0.5
P(X>8)=1-P(X<=7)
P(7.2<X<=4.2)=P(X<=4.2)-P(X<=7.2)
P(3.3<X<=6)=P(X<=6)-P(X<=3.3)
P(X=10)=0
Solution
All are correct except (3)
P(7.2<X<=4.2)=P(X<=4.2)-P(X<=7.2)
I does not make sense as left hand side is impossibe event, and its probability should be zero. Right hand side is negative.
