Answer to Question #305440 in Statistics and Probability for Kond

Question

If X follows a normal distribution with u = 30 and o = 4, what is P(X <27)?

Answer 1

As we know that X is normally distributed with mean

Normal distribution with u =30,

And standard deviation , \sigma= σ=4

To find P(X<27) =P{Z<(27-30)/4}

P{Z<(-3/4)}

P{Z<(-0.75)}

From the normal distribution table 0.75

so, P(X<27)= -0.7734