Question

If X has a normal distribution M=5 and Standard deviation = 2 find Pr(2< X < 6)

Answer 1

If X has a normal distribution M=5 and Standard deviation = 2 find Pr(2< X < 6)

We need to find P(2< X < 6)

To solve this we need to find the

P(2< X < 6) = P(X<6)-P(X<2)

P(X<6)
We find the zscore then, probability

Using normal table we find the probability

P(X<6)= 0.691462

P(X<2)
We find the zscore then, probability

Using normal table we find the probability

P(X<2)= 0.066807

Pr(2< X < 6)=P(X<6)-P(X<2)=0.691462-0.066807=0.6246