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Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate...

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. (Round your proportions to four decimal places.)

(a) The proportion of SAT scores falling below 430 for a group with a mean of 500 and a standard deviation of 100.
______ (z-score)
______  (approximate proportion)

(b) The proportion of boys with heights below 36.4 inches for a group with mean height of 34 inches and standard deviation of 1 inch.
______   (z-score)

______  (approximate proportion)

(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 77.
______  (z-score)
______  (approximate proportion)

(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 77.
______  (z-score)
______  (approximate proportion)

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