1. Z is a standard normal random variable. Compute the following
probabilities using standard normal distribution table in your
textbook. You can find the table in Appendix section at the back of
your textbook. a. ??(?? ? ?1.08) b. ??(?? ? ?2.08) c. ??(1.23 ? ??
? 1.55) 2. The weights of items produced by a company are normally
distributed with a mean of 4.5 ounces and a standard deviation of
0.3 ounces. Make sure you must first convert any normal random
variable (X) to standard normal random variable (Z), and find the
probability using standard normal distribution table in your
textbook a. What is the probability that a randomly selected item
from the production will weight at least 4.14 ounces? b. What
percentage of the items weigh between 4.8 to 5.04 ounces? c. If
27,875 of the items of the entire production weigh at least 5.01
ounces, how many items have been produced?