Answer the following and please provide a solution to Test II and Test III :)

I. Choose he letter that best answers the questions. 1. What is the total area under the normal curve in a standard normal distribution? A. 1 B. 2 C. 3 D. 4 2. Where can we locate the mean in the normal curve? A. to the left portion C. at the center B. to the right portion D. on the z - axis 3. Find the area under the standard normal curve to the right of z = -2.67. A. 0.0869 B. 0.9962 C. 0.0008 D. 0.1234 4. Find the area under the normal distribution curve to the left of Z = 0.27. A. 0.3936 B. 0.3897 C. 0.6064 D. 0.4892 5. If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score? A. -1.25 B. +1.25 C. +1.20 D. +1.02 Il. Draw the graph and find the area under the normal distribution curve which lies from; 1. z = 0 to z = 1.45 4. z = 1.53 to z = 2.14 2. z = 0.50 to z = 175 5. and to the right of z = -2.34 3. Z= -1.25 to z = 1.28 Ill. Solve the following problem. Show your solution. 1 . The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. a) Draw and label the standard normal distribution for the shelf life of the dairy product. b) About what percent of the products last between 9 and 15 days? c) About what percent of the products last between 12 and 15 days? d) About what percent of the products last 6 days or less? e) About what percent of the products last 15 or more days