TELE OTT SPE ERLE 18 CVE who ME 6 CEEE RE NT CHE COM HOP MOT SCH HP 1S 09 CAT CE CM LAT M TO VE SOP SME O OVS SS PERE 15 O RE ON ET IS 49 SER NE HT MEL PER SESE 19 Student ID 01-Apr-20 02-Apr-2003-Apr-2004. Apr-2005-Apr-20 05-Apr-2007-Apr-20 05.Apr-20 09-Apr-20 10-Apr-20 11-Apr-20 12-Apr-2013-Apr-2014-Apr-2015-Apr-2016-Apr-2017-Apr-2016-kar-20 19 Apr 20 20-Apr-20 871 21 SES 4560 49 2013003 210 114 152 1406 2110 2100 494 321 303 201510122 2404 272 200 250 166 MO 30 401 2005 17 200761511 43 1.312 24 754 13 73 19 2371 201301235 171 1520 1121 2018 28 3725 47 10 14 20150345 1875 2150 4396 2001 100 201306549 150 1548 1.16 435 385 1100 1522 720 3700 201304342 3003 1439 300 170 201802459 538 3100 1104 516 2542 2350 1619 2 1102 20170658 1726 3042 2354 1433 SO 3672 2758 499 2390 1523 2075 4712 3400 1250 2010 1579 201 4515 3600 cm 110 282 11 1105 2939 2819 201401831 1146 GOT 2100 3575 204 125 214 4930 24 36 134 201512723 10 4492 1617 1854 201103 ISLO MO 1704 266 303 21 05 13 201203520 112 4304 223 M 1231 1114 1900 150 201702393 1680 12 293 300 1721 1044 4935 18 1073 1550 1292 2701 17 350 1223 115 RO 2015110 512 1111 12 11 4152 awa 1953 31 2014 201507806 48 201602 BIB M34 4212 2 1241 1101 499 6160 1953 17 ws 4212 114 AR LE 20 1919 4555 23 201602 13 1146 22M TH 24 10 30 4128 2017 2320 20150125 10 1124 1961 1191 4763 2014 1649 201801194 1270 2144 91 772 4450 2936 1211 GEN 136 20140417 363 1015 1111 4832 11 1122 200911494 10 45 00 1163 1018 149 201510875 1348 4096 2271 277 20140101 144 BI 101 IM 1808 2570 2017 2254 1979 28 2191 ET OP TO 20150 20 3534 784 10 2144 2016 2027 120 20120210 2015 SRM 02 4195 00 201504463 3000 1212 VO 25 535 2512 201106684 2011 2008 322 14 TH4 21 14 400 H 2013006) 125 228 7914 16 118 271 4210 12 1817 1644 2015 4178 201401877 240 1RIS 1200 272 17 SP WIN 2140 201604814 SOM TH 23 412 41 20141 13 1040 284 744 40 111 4115 201207 112 10 814 140 4811 100 2012 461 20120110 WE PISE SEDE SH TE LARE E ER GET SP TER W LE 16 SPE SESE MP OSP ! TER IS USE SoC ME CM IS IN RE VEN SCE ME TISE 16 ENIE FE PE INP TEL Problem #1 [40 pts] Using the provided table of sample data of a number of COVID19 daily cases in some unknown country consider only the data in the row which is starting with your student number, answer the following questions: 1-(5pts) Fill the table below with the dates and values of the data of the unknown country in front of your student ID. Consider this data as your full population. Your student ID: Table of daily cases Date Number of cases 2-[10pts] For the data listed above (population) calculate the mean and the variance of the population (you can use excel/calculator and just put results)? Mean 0 = Variance () - 3-15pts] Pick a sample, X, of 10 days starting from picking the first day and skipping the next one then taking the one after it and so on (.e., every other day starting by picking the first day). Fill in the dates and sample values below. Setected Date Number of new cases 4-[10pts) Assume that the population (number of new cases in your assigned country) follows a Poisson Distribution with unknown parameter.. Design a moment based estimator to be used to estimate the parameter of the distribution? Using your estimator, find an estimate for. Estimator Estimate 5-[10pts] Show whether your moment based estimator is biased or not and calculate its variance. TELE OTT SPE ERLE 18 CVE who ME 6 CEEE RE NT CHE COM HOP MOT SCH HP 1S 09 CAT CE CM LAT M TO VE SOP SME O OVS SS PERE 15 O RE ON ET IS 49 SER NE HT MEL PER SESE 19 Student ID 01-Apr-20 02-Apr-2003-Apr-2004. Apr-2005-Apr-20 05-Apr-2007-Apr-20 05.Apr-20 09-Apr-20 10-Apr-20 11-Apr-20 12-Apr-2013-Apr-2014-Apr-2015-Apr-2016-Apr-2017-Apr-2016-kar-20 19 Apr 20 20-Apr-20 871 21 SES 4560 49 2013003 210 114 152 1406 2110 2100 494 321 303 201510122 2404 272 200 250 166 MO 30 401 2005 17 200761511 43 1.312 24 754 13 73 19 2371 201301235 171 1520 1121 2018 28 3725 47 10 14 20150345 1875 2150 4396 2001 100 201306549 150 1548 1.16 435 385 1100 1522 720 3700 201304342 3003 1439 300 170 201802459 538 3100 1104 516 2542 2350 1619 2 1102 20170658 1726 3042 2354 1433 SO 3672 2758 499 2390 1523 2075 4712 3400 1250 2010 1579 201 4515 3600 cm 110 282 11 1105 2939 2819 201401831 1146 GOT 2100 3575 204 125 214 4930 24 36 134 201512723 10 4492 1617 1854 201103 ISLO MO 1704 266 303 21 05 13 201203520 112 4304 223 M 1231 1114 1900 150 201702393 1680 12 293 300 1721 1044 4935 18 1073 1550 1292 2701 17 350 1223 115 RO 2015110 512 1111 12 11 4152 awa 1953 31 2014 201507806 48 201602 BIB M34 4212 2 1241 1101 499 6160 1953 17 ws 4212 114 AR LE 20 1919 4555 23 201602 13 1146 22M TH 24 10 30 4128 2017 2320 20150125 10 1124 1961 1191 4763 2014 1649 201801194 1270 2144 91 772 4450 2936 1211 GEN 136 20140417 363 1015 1111 4832 11 1122 200911494 10 45 00 1163 1018 149 201510875 1348 4096 2271 277 20140101 144 BI 101 IM 1808 2570 2017 2254 1979 28 2191 ET OP TO 20150 20 3534 784 10 2144 2016 2027 120 20120210 2015 SRM 02 4195 00 201504463 3000 1212 VO 25 535 2512 201106684 2011 2008 322 14 TH4 21 14 400 H 2013006) 125 228 7914 16 118 271 4210 12 1817 1644 2015 4178 201401877 240 1RIS 1200 272 17 SP WIN 2140 201604814 SOM TH 23 412 41 20141 13 1040 284 744 40 111 4115 201207 112 10 814 140 4811 100 2012 461 20120110 WE PISE SEDE SH TE LARE E ER GET SP TER W LE 16 SPE SESE MP OSP ! TER IS USE SoC ME CM IS IN RE VEN SCE ME TISE 16 ENIE FE PE INP TEL Problem #1 [40 pts] Using the provided table of sample data of a number of COVID19 daily cases in some unknown country consider only the data in the row which is starting with your student number, answer the following questions: 1-(5pts) Fill the table below with the dates and values of the data of the unknown country in front of your student ID. Consider this data as your full population. Your student ID: Table of daily cases Date Number of cases 2-[10pts] For the data listed above (population) calculate the mean and the variance of the population (you can use excel/calculator and just put results)? Mean 0 = Variance () - 3-15pts] Pick a sample, X, of 10 days starting from picking the first day and skipping the next one then taking the one after it and so on (.e., every other day starting by picking the first day). Fill in the dates and sample values below. Setected Date Number of new cases 4-[10pts) Assume that the population (number of new cases in your assigned country) follows a Poisson Distribution with unknown parameter.. Design a moment based estimator to be used to estimate the parameter of the distribution? Using your estimator, find an estimate for. Estimator Estimate 5-[10pts] Show whether your moment based estimator is biased or not and calculate its variance