5. If Z ~ N(0,1), then what is Pr(-0.93 < Z < 2.42)? You can use Excel. Enter your answer as a decimal rounded to three decimal places, e.g. 0.291.
6. Given a sample with a mean of 94 and a standard deviation of 17, calculate the following probability. (Note this is not a standard normal distribution). Round your answer to 3 decimal places, e.g. 0.194.
Pr(X > 82.5)
7. Given a sample with a mean of 94 and a standard deviation of 17, calculate the following probability. (Note this is not a standard normal distribution). Round your answer to 3 decimal places, e.g. 0.194.
Pr(X < 64.7)
8. Given a sample with a mean of 94 and a standard deviation of 17, calculate the following probability using Excel. (Note this is not a standard normal distribution) Round your answer to three decimal places, e.g. 0.194.
Pr(44 < X < 54)
9. Given a sample with a mean of 196 and a standard deviation of 20, calculate the following probability using Excel. Note the sign change. Round your answer to three decimal places, e.g. 0.491.
Pr(229 < X < 234)
10. Given a sample with a mean of 175 and a standard deviation of 40, calculate the following probability using Excel. Notice this is not a standard normal distribution. Recall that Pr(X > x) = 1 - Pr(X < x). Round your answer to three decimal places e.g. 0.132
Pr(146 < X < 197)