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Problem 6.10

Posted on July 28, 2021 by Abigail Stason

The arrival of students to a class was measured as listed below. Sketch an interarrival time histogram for the data, using integer bins (for example 12 through 12.9999999). Determine the most likely time at which the next student would arrive at class if the random number 0.28 were used.

Note that  you can cut and paste the data shown below into Excel, or any spreadsheet. From there you calculate the interarrival times, and can then “COPY” (not cut) the results and then “PASTE SPECIAL” them as “VALUES” into another column before you will be able to sort them into bins. You will not be able to “sort” the original interarrival times you calculate, because they are not numbers, they are the results of “formulas.”

Arrival Time (seconds)

0
11.4
26.1
40.3
53.3
65.5
80
92.7
105.2
119.9
134.8
145.6
159
173.5
187.2
197.2
208.6
222
233.4
247.7
261.5
277.1
290
304.9
317.7
331.4
346.1
359.7
372.1
386.2
399.8
410.3
425.7
439.8
450.1
462.9
474.6
488.2
500.9
512.2
526.9
542.5
554.2
569.2
581.2
594
605.2
617.4
630.4
643.7
658.8
671.9
684.8
698.3
710.2
722.2
738
750.9
766.8
778.7
791.5
805.1
817.5
831
843.9
855.9
868.9
883.4
897.3
910.5
923.6
936.9
950
964.8
978.2
990.1
1002
1016.1
1029.1
1043.8
1057
1070.1
1084.6
1098.2
1113.1
1127.5
1142.2
1154.4
1168.4
1180.2
1195.1
1209.6
1225.6
1239.6
1252.6
1266.3
1278.8

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