Assume the random variable X is normally distributed with mean

mu equals 50

and standard deviation

sigma equals 7.

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

Upper P left parenthesis 56 less than or equals Upper X less than or equals 68 right parenthesis

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Part 1

Which of the following normal curves corresponds to

Upper P left parenthesis 56 less than or equals Upper X less than or equals 68 right parenthesis?

A.

56

50

68

A normal curve has a horizontal axis with three labeled coordinates, 50, 56, and 68. The curve's peak is near the top of the graph at horizontal coordinate 50. Three vertical line segments run from the horizontal axis to the curve at horizontal coordinates 50, 56, and 68. The area under the curve between the vertical line segments at horizontal coordinates 50 and 56 is shaded.

B.

56

50

68

A normal curve has a horizontal axis with three labeled coordinates, 50, 56, and 68. The curve's peak is near the top of the graph at horizontal coordinate 50. Three vertical line segments run from the horizontal axis to the curve at horizontal coordinates 50, 56, and 68. The area under the curve to the left of the vertical line segment at horizontal coordinate 56 is shaded.

C.

56

50

68

A normal curve has a horizontal axis with three labeled coordinates, 50, 56, and 68. The curve's peak is near the top of the graph at horizontal coordinate 50. Three vertical line segments run from the horizontal axis to the curve at horizontal coordinates 50, 56, and 68. The area under the curve between the vertical line segments at horizontal coordinates 56 and 68 is shaded.

Your answer is correct.

Part 2

Upper P left parenthesis 56 less than or equals Upper X less than or equals 68 right parenthesisequalsenter your response here

(Round to four decimal places as needed.)