Professor Pascal has 184 students in his college mathematics lecture class. The scores on the first test have approximately a normally distribution with a mean percent of 72.3 and a standard deviation of 8.9. a) Draw the distribution clearly labelling the mean and 3 standard deviations each side of the mean. b) It is very likely that the students in the class are expected to receive a score between what two values? c) What percentage of students in the class can be expected to receive a score between 81.2 and 90.1?

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Professor Pascal has 184 students in his college mathematics lecture class. The scores on the first
test have approximately a normally distribution with a mean percent of 72.3 and a standard
deviation of 8.9.
a) Draw the distribution clearly labelling the mean and 3 standard deviations each side of the
mean.
b) It is very likely that the students in the class are expected to receive a score between what
two values?
c) What percentage of students in the class can be expected to receive a score between 81.2
and 90.1?
d) How many of the students would be expected to score above 99?
e) The professor tells his students that 97.5% of them should have a score better than x. Find
the largest value he could give for x.
MacBook Pro
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4
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* 00
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F.
Transcribed Image Text:Professor Pascal has 184 students in his college mathematics lecture class. The scores on the first test have approximately a normally distribution with a mean percent of 72.3 and a standard deviation of 8.9. a) Draw the distribution clearly labelling the mean and 3 standard deviations each side of the mean. b) It is very likely that the students in the class are expected to receive a score between what two values? c) What percentage of students in the class can be expected to receive a score between 81.2 and 90.1? d) How many of the students would be expected to score above 99? e) The professor tells his students that 97.5% of them should have a score better than x. Find the largest value he could give for x. MacBook Pro $ & 4 5 7 8 Y U J K V M の * 00 エ ト F.
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