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>8)=1-P(X<=7)

Solution

All are correct except P(7.2<X<=4.2)=P(X<=4.2)-P(X<=7.2)

Here, 7.2<X<=4.2 is impossible thus P(7.2<X<=4.2) = 0, wheras P(X<=4.2)-P(X<=7.2) is negative.

If random variable X follows the Normal distribution. X~Normal(10,10). Which among the following statements are correct? P(X>8)=1-P(X<=7) SolutionAll are

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