Mod 1,2 Review - Question 14 | Desmos

Part (b) X = 680. Z = 2.35

5

Expression 6: "Z" equals StartFraction, left parenthesis, 680 minus 480 , right parenthesis Over 85 , EndFraction

equals

2.3 5 2 9 4 1 1 7 6 4 7

6

Part (c). When X = 570, the Z-score is Z = (570 - 480) / 85 = 1.06. P( Z > 1.06 ) = 0.145. Click on the blank circle below (next to normaldist(0,1)) to see the graph for part (c). The probability is the green area.

7

Expression 8: normal distribution left parenthesis, 0 , 1 , right parenthesis

MeanStandard Deviation

8

Part (d). When X = 420, the Z-score is Z = (420 - 480) / 85 = - 0.71. P( Z < -0.71 ) = 0.239. Click on the blank circle below (next to normaldist(0,1)) to see the graph for part (d). The probability is the red area.

9

Expression 10: normal distribution left parenthesis, 0 , 1 , right parenthesis

MeanStandard Deviation

10

11

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