1. Task Conduct manual fitting of the given data following the Three Activities discussed in the class.
Activity I: (1) Draw a proper plot to represent the data (e.g., histogram, line graph) and
(2) hypothesize the distribution that may best fit the data.
Activity II: Estimate parameter(s) using the maximum likelihood estimation method. (hint: the exponential distribution is usually used for representing the arrival patterns).
Activity III: Test the goodness of fit using the Chi-square test.
2. Data The .txt file (attached) provides you one-hour arrival times and inter-arrival times collected previously at the Central Library.
o First column: # of arrivals. A total of 28 arrivals were observed during this one-hour period.
o Second column: inter-arrival times. Each data point captured the inter-arrival time between the previous arrival and the current arrival.
o Third column: actual arrival times
3. Deliverable You are asked to submit a report that shows your work on this input data analysis (i.e., the three activities mentioned above). Please also describe the issues encountered and remedies for these issues during the data fitting process. In addition, adequate justification for the selection of your final distribution must be provided
Lap 2800:02:39.6601:01:13.82
Lap 2700:00:00.7300:58:34.16
Lap 2600:01:39.0900:58:33.42
Lap 2500:01:22.0200:56:54.33
Lap 2400:00:07.7800:55:32.31
Lap 2300:04:05.0400:55:24.52
Lap 2200:01:43.4000:51:19.47
Lap 2100:00:58.3700:49:36.07
Lap 2000:02:34.5400:48:37.70
Lap 1900:10:57.1600:46:03.16
Lap 1800:01:42.3200:35:06.00
Lap 1700:00:14.8500:33:23.67
Lap 1600:01:51.7300:33:08.81
Lap 1500:02:22.5200:31:17.07
Lap 1400:00:00.9200:28:54.55
Lap 1300:00:09.3000:28:53.62
Lap 1200:06:06.1900:28:44.32
Lap 1100:00:54.6700:22:38.13
Lap 1000:00:33.3700:21:43.45
Lap 900:01:50.9700:21:10.07
Lap 800:00:03.9900:19:19.10
Lap 700:00:09.0600:19:15.10
Lap 600:01:57.2400:19:06.03
Lap 500:10:53.7700:17:08.79
Lap 400:02:42.6300:06:15.01
Lap 300:03:23.4300:03:32.38
Lap 200:00:06.9100:00:08.94
Lap 100:00:02.0300:00:02.03
