Questions: Sketch a standard normal curve and shade the area under the curve that lies to the right of 0. The area to the right of 0 is (Round to four decimal places as needed.)

Sketch a standard normal curve and shade the area under the curve that lies to the right of 0.

The area to the right of 0 is
(Round to four decimal places as needed.)

Transcript text: Sketch a standard normal curve and shade the area under the curve that lies to the right of 0. The area to the right of 0 is $\square$ (Round to four decimal places as needed.)

Solution

Solution Steps

Step 1: Identify the correct graph

The question asks for the area to the right of 0. The correct graph is the one that has the area shaded to the right of the mean (which is 0 for a standard normal distribution). This corresponds to graph D.

Step 2: Determine the area

The standard normal distribution is symmetric about the mean. Since the mean is 0, and the total area under the curve is 1, the area to the right of 0 is 1/2 = 0.5.

Final Answer:

The correct graph is D. The area to the right of 0 is 0.5000.

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