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Assume the random variable X is normally distributed with mean mu equals 50 =50 and standard deviation sigma equals 7 =7. Compute the probability. Be

Assume the random variable X is normally distributed with mean mu equals 50

=50 and standard deviation sigma equals 7

=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

Upper P left parenthesis 35 less than Upper X less than 62 right parenthesis

P(35

Which of the following normal curves corresponds to Upper P left parenthesis 35 less than Upper X less than 62 right parenthesis

P(35

A.

35

35

50

50

62

62

A normal curve has a horizontal axis with three labeled coordinates, 35, 50, and 62. 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 35, 50, and 62. The areas under the curve to the left of the vertical line segment at horizontal coordinate 35 and to the right of the vertical line segment at horizontal coordinate 62 are shaded.

B.

35

35

50

50

62

62

A normal curve has a horizontal axis with three labeled coordinates, 35, 50, and 62. 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 35, 50, and 62. The area under the curve between the vertical line segments at horizontal coordinates 35 and 62 is shaded.

Your answer is correct.

C.

35

35

50

50

62

62

A normal curve has a horizontal axis with three labeled coordinates, 35, 50, and 62. 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 35, 50, and 62. The area under the curve to the left of the vertical line segment at horizontal coordinate 62 is shaded.

Upper P left parenthesis 35 less than Upper X less than 62 right parenthesis

P(35

=

nothing

(Round to four decimal places asneeded.)

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