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Mathematics, 18.05.2021 02:40 lebronjames1604
Suppose the daily closing price of a corporation's shares is approximately normally distributed over the
course of a year, where the mean is $271.35 and a standard deviation of $31.17
Explain whether the range $220 to $320 represent about 94% of the daily closing prices of the corporation's
shares for that year. Round all amounts to four decimal places as needed.
A) No, because the value of $220 is -1.6474, and the area under the normal distribution and to the left of
-1.6474 is approximately 0.0497
B) No, because all of the values in the range are within two standard deviations of the mean
C) No because the value of $220 is - 1.6474 and the value for $320 is 1.5608 The area under the normal
distribution between 3-1.6474 and 1.5608 is approximately 0.8910
D) Yes because the value of $320 is 1.5608 and the area under the normal distribution and to the left of
1.5608 is approximately 0.9407
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