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17. A professor keeps office hours between 10 a.m. and 12 noon one day per week. The number of students who come during these periods is given in this relative frequency distribution: Number of Students (n) Relative Frequency F(n) (percent) 10% 30 to 10 Number of Students (n) Relative Frequency F(n) (percent) 5 4 40% 20 6 The amount of time per student is approximated by a normal distribution with a mean of 10 minutes and a standard deviation of 2 minutes. Use these uniform ran- dom numbers to establish the number of students arriving in five office-hours pe- riods: 5, 1, 3, 9, and 7. Use the normally distributed Z scores in Table 9.12 to es- tablish service times per student. (Begin in the upper left-hand corner of the table and read horizontally across the first line, return to the left margin, go down to the next line, and repeat until completed.) Follow the procedures of the outpatient clinic case in this chapter to determine . The number of students arriving in each office hours period for five periods. b. The total number of minutes required to assist students during each of the five office-hours periods. bl a Table 9.12 Normally Distributed Z Scores 1.21 0.40 1.40 -0.04 0.47 0.11 0.22 -1.80 0.09 1.66 -21.31 -0.11 -0.49 1.21 -0.28 0.77 1.94 0.97 -0.60 -2.26 -1.12 - 1.63 0.56 1.80 2.02 1.14 -0.11 -0.76 -0.63 0.10 1.32 -0.75 0.10 -0.21 3.00 0.46 1.02 0.31 0.56 0.86 0.92 -1.05 -1.58 1.14 1.01 -0.79 1.27 0.09 -0.85 0.31 -0.81 0.48 0.15 -0.54 0.04 -0.24 0.81 1.08 -0.34 -0.77 -1.12 1.00 -2.75 1.72 -1.05 0.52 -0.17 -0.60 0.02 1.90 1.28 -0.35 0.45 0.60 -0.11 1.66 -0.28 1.66 2.10 0.73 Note: These numbers are not in any order and are normally distributed about a mean of zero