Suppose that y is a random variable having a normal distribution with a mean equal to 250 and standard deviation equal to 10.
a) Show that the event y< 260 has the same probability as z<1
b) Convert the event y> 230 to the z score equivalent
c) Find P(y<260) and P(y> 230)
d) Find P(y>265), P(y<242) and P(242