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.

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)

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