Question: Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion for each of the following situations. In each case, assume the values are approximately bell-shaped.
a. The proportion of SAT scores falling below 450 for a group with a mean of 500 and a standard deviation of 100.
b. The proportion of boys with heights below 36.5 inches for a group with mean height of 34 inches and standard deviation of 1 inch.
c. The proportion of a large class that scored below you on a test for which the mean was 75, the standard deviation was 8, and your score was 79.
d. The proportion of a large class that scored below you on a test for which the mean was 75, the standard deviation was 4, and your score was 79.