Question: Assume that the random variable X is normallydistributed, with mean =50 and standard deviation =10. Compute the probability P(55

Assume that the random variable X is normallydistributed, with mean =50 and standard deviation =10. Compute the probability P(55

Draw a normal curve with the area corresponding to the probability shaded. Choose the correct graph below.

A.

55

70

x

A normal curve has a horizontal axis labeled "x" with two horizontal coordinates, 55 and 70. There is a dashed vertical line segment running from the horizontal axis to the curve at its peak at the horizontal center of the graph. Two solid vertical line segments run from the horizontal axis to the curve that are to the right of the curve's peak at horizontal coordinates 55 and 70. The area under the curve and between the two solid vertical line segments is shaded.

Your answer is correct.

B.

55

70

x

A normal curve has a horizontal axis labeled "x" with two horizontal coordinates, 55 and 70. There is a dashed vertical line segment running from the horizontal axis to the curve at its peak at the horizontal center of the graph. Two solid vertical line segments run from the horizontal axis to the curve that are to the right of the curve's peak at horizontal coordinates 55 and 70. The area under the curve and to the left of the vertical line segment at 70 is shaded.

C.

55

70

x

A normal curve has a horizontal axis labeled "x" with two horizontal coordinates, 55 and 70. There is a dashed vertical line segment running from the horizontal axis to the curve at its peak at the horizontal center of the graph. Two solid vertical line segments run from the horizontal axis to the curve that are to the right of the curve's peak at horizontal coordinates 55 and 70. The areas under the curve to the left of the solid vertical line segment at 55 and to the right of the vertical line segment at 70 are shaded.

P(55

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