The chart to the right shows that a professor's grading distribution is bell shaped, or normally shaped. The mean of the distribution is 74 and the standard deviation is 9. Using a Continuous Variable Normal Bell Distribution Model, a) draw a picture of the model (cells in worksheet or paper), b) calculate the probability that a randomly selected student could get a grade of 70 or below, c) calculate the probability that a randomly selected student could get a grade of 70 or above, d) calculate the probability that a randomly selected student could get a grade between 70 and 90. Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems #17, 21 and 23.

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The chart to the right shows that a professor's grading distribution is bell shaped, or normally shaped. The mean of the distribution is 74 and
the standard deviation is 9. Using a Continuous Variable Normal Bell Distribution Model, a) draw a picture of the model (cells in worksheet or
paper), b) calculate the probability that a randomly selected student could get a grade of 70 or below, c) calculate the probability that a
randomly selected student could get a grade of 70 or above, d) calculate the probability that a randomly selected student could get a grade
between 70 and 90. Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your
calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems # 17, 21 and 23.
Relative Frequency
Frequency
Professor looks at all test score for a particular test (this is population
data), and observes:
0.5
0.45
0.4
0.35
0.3
0.25
0.2
0.15
0.1
0.05
0
Mean = 74
Median 74
Mode 73
SD=9
0
0 up to
10
0
10 up
to 20
0
20 up
to 30
0
30 up
to 40
2
40 up
to 50
29
50 up
to 60
X = Score
112
60 up
to 70
225
70 up
to 80
111
80 up
to 90
21
2
90 up 100 up
to 100 to 110
Transcribed Image Text:The chart to the right shows that a professor's grading distribution is bell shaped, or normally shaped. The mean of the distribution is 74 and the standard deviation is 9. Using a Continuous Variable Normal Bell Distribution Model, a) draw a picture of the model (cells in worksheet or paper), b) calculate the probability that a randomly selected student could get a grade of 70 or below, c) calculate the probability that a randomly selected student could get a grade of 70 or above, d) calculate the probability that a randomly selected student could get a grade between 70 and 90. Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems # 17, 21 and 23. Relative Frequency Frequency Professor looks at all test score for a particular test (this is population data), and observes: 0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 Mean = 74 Median 74 Mode 73 SD=9 0 0 up to 10 0 10 up to 20 0 20 up to 30 0 30 up to 40 2 40 up to 50 29 50 up to 60 X = Score 112 60 up to 70 225 70 up to 80 111 80 up to 90 21 2 90 up 100 up to 100 to 110
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