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