Math Problem Statement

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. nbspa. 

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

2.062.06.

b. nbspb. 

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

2.062.06.

Remember that the total area under the curve is 1.

Question content area bottom

Part 1

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

2.062.06​?

A.

2.06

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 15% of the way from the graph’s right edge, a vertical line segment with labeled horizontal coordinate 2.06 extends from the horizontal axis to the curve. The area below the curve and to the left of the vertical line segment is shaded.

B.

-2.062.06

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 2.06 and 2.06 extend from the horizontal axis to the curve. The area below the curve to the left of the segment at negative 2.06 and the area below the curve to the right of the segment at 2.06 are shaded.

C.

-2.062.06

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 15% of the way from the left and right edges of the graph, two vertical line segments with respective labeled horizontal coordinates negative 2.06 and 2.06 extend from the horizontal axis to the curve. The area below the curve between the segment at negative 2.06 and the segment at 2.06 is shaded.

D.

2.06

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Probability

Formulas

Cumulative distribution function for Normal distribution
Area under the curve for probability

Theorems

Empirical rule for Normal distribution

Suitable Grade Level

Grades 11-12