Use technology to find the indicated area under the standard Normal curve. Include an appropriately labeled sketch of the Normal curve and shade the appropriate region. a. Find the area in a standard...




Use technology to find the indicated area under the standard Normal curve. Include an appropriately labeled sketch of the Normal curve and shade the appropriate region.
















a.


Find the area in a standard Normal curve to the left of
1.63.



b.


Find the area in a standard Normal curve to the right of
1.63.

Remember that the total area under the curve is 1.







a. Which graph below shows the area in a standard Normal curve to the left of
1.63​?








A.














1.63










A graph contains a Normal curve, plotted over a horizontal axis, which extends between the left and right edges of the graph and has a peak at the horizontal center. Approximately 25% of the way from the graph’s right edge, a vertical line segment with labeled horizontal coordinate 1.63 extends from the horizontal axis to the curve. The area below the curve and to the left of the vertical line segment is shaded.


Your answer is correct.




B.














1.63










A graph contains a Normal curve, plotted over a horizontal axis, which extends between the left and right edges of the graph and has a peak at the horizontal center. Approximately 25% of the way from the graph’s right edge, a vertical line segment with labeled horizontal coordinate 1.63 extends from the horizontal axis to the curve. The area below the curve and to the right of the vertical line segment is shaded.






C.
















-1.631.63










A graph contains a Normal curve, plotted over a horizontal axis, which extends between the left and right edges of the graph and has a peak at the horizontal center. Approximately 25% of the way from the left and right edges of the graph, two vertical line segments with respective labeled horizontal coordinates negative 1.63 and 1.63 extend from the horizontal axis to the curve. The area below the curve between the segment at negative 1.63 and the segment at 1.63 is shaded.






D.

















-1.631.63










A graph contains a Normal curve, plotted over a horizontal axis, which extends between the left and right edges of the graph and has a peak at the horizontal center. Approximately ALTp% of the way from the graph’s left and right edges of the graph, two vertical line segments with respective labeled horizontal coordinates negative 1.63 and 1.63 extend from the horizontal axis to the curve. The area below the curve to the left of the segment at negative 1.63 and the area below the curve to the right of the segment at 1.63 are shaded.






The area in a standard Normal curve to the left of
1.63

is
0.950.95.


​(Round to four decimal places as​ needed.)


Jun 09, 2022
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