Question: Suppose that y is a random variable having a normal distribution with a mean equal to 250 and a standard deviation equal to 10. a.

Suppose that y is a random variable having a normal with a mean equal to 250 and a 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 < y < 265).

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