Question

If 50 of them are taken as samples, what is the probability that their mean height is less than 150cm?

Answer 1

Given $\mu=151cm, \sigma=6cm, n=50.$

$$P(X<150)=P(Z<\dfrac{150-151}{6/\sqrt{50}})$$

$$\approx P(Z<-1.1785)\approx 0.1193$$