u=2.7 minutes
sigma=.6 minutes

my main question is how do I get the Z value here?

The question is something like this what is probability that the total
check out time for next customers is less than 90 minutes?

- I understand that Xi is (i=1,2,3) and 
                    W = X1 + X2 . . . . and
                    P(W<90) = P(X bar<3)

BUT

How does (X bar<3) = P(Z<2.74)

So my main question is how does (X bar<3)=P(Z<2.74)?

Could someone please explain how does this work?

Thanks in advance!
.
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