Assume the random variable X is normally distributed with mean

=50

and standard deviation

=7.

Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(X>40)

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Click the icon to view a table of areas under the normal curve.

Which of the following normal curves corresponds to

P(X>40)?

A.

40

50

A normal curve has a horizontal axis with two labeled coordinates, 40 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 40 and 50. The area under the curve to the right of the left vertical line segment is shaded.

B.

40

50

A normal curve has a horizontal axis with two labeled coordinates, 40 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 40 and 50. The area under the curve between the vertical line segments is shaded.

C.

40

50

A normal curve has a horizontal axis with two labeled coordinates, 40 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 40 and 50. The area under the curve to the left of the left vertical line segment is shaded.

P(X>40)=enter your response here

(Round to four decimal places as needed.)