1- Decide if the events A and B are mutually exclusive or not. A die is rolled.

Event A: The result is a number less than 4.

Event B: The result is an odd number.

2- Use the standard normal distribution to find

a)( < 1.45)

b)( > 1.85)

c)(0.54 < < 1.2)

3-The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

a) Find the probability that the length of pregnancy is more than 264 days?

b) Out of 200 pregnancies, how many would be more than 264 days?

c) If 36 women are randomly selected, find the probability that they have a mean pregnancy between 264 days and 266 days.