<PRE><B>Question 1081763</B>
a) 1 - 0.04 = 0.96, a z-score of 1.75 corresponds to 0.96 probability
1.75 = (X - 490) / 105
X - 490 = 1.75 * 105 = 183.75 
X = 183.75 + 490 = 673.75
674 is the minimum score necessary to receive $500
:
b)  a z-score of -1.75 corresponds to 0.04 probability
-1.75 = (X - 490) / 105
X - 490 = -1.75 * 105 = -183.75
X = -183.75 + 490 = 306.25
306 is the minimum score to stay out of summer school
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