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by table data kunsatha

8 9 10 1 2 3 B 5 6 7 8 9 2.24 | 2.24 | 2.ZI 5.47 5.89 5.31 2.44 1.80 1.72 4.10 3.88 3.56 2.56 2.22 2.14 2.13 2.36 2.34 2.41 2.36 2.33 4.12 4.36 4.56 3.47 3.89 3.78 2.11 2.23 2.12 2.22 2.23 2.24 5.36 5.47 5.87 2.44 1.80 1.72 4.65 3.89 4.00 2.56 2.22 2.15 2.56 2.12 2.32 2.12 2.45 2.33 4.25 4.36 4.22 3.47 3.89 3.75 2.11 2.23 2.12 2.27 2.26 2.22 5.21 5.36 5.54 2.44 1.80 1.72 4.12 3.25 3.69 10 1 2 3 4 5 6 7 8 9 10 Payable Date Dividend Type share) 12/13/2018 9/13/2018 6/14/2018 3/8/2018 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.059 0.054 0.054 0.054 12/14/2017 9/14/2017 6/8/2017 3/9/2017 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.054 0.050 0.050 0.050 Date 2018 11/14/2018 8/15/2018 5/16/2018 2/14/2018 2017 11/15/2017 8/15/2017 5/16/2017 2/14/2017 016 11/15/2016 8/16/2016 5/17/2016 2/16/2016 2015 11/17/2015 8/18/2015 5/19/2015 2/17/2015 014 11/18/2014 8/19/2014 5/13/2014 2/18/2014 12/8/2016 9/8/2016 6/9/2016 3/10/2016 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.050 0.046 0.046 0.046 12/10/2015 9/10/2015 6/11/2015 3/12/2015 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.046 0.040 0.040 0.040 12/11/2014 9/11/2014 6/12/2014 3/13/2014 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.040 0.036 0.036 0.036 0.147 The national lottery of Ruritania is based on the positive integers from 1 to N, where N is very large and fixed. Tickets cost 1 each. For each ticket purchased, the punter (i.e. the purchaser) chooses a number from 1 to N. The winning number is chosen at random, and the jackpot is shared equally amongst those punters who chose the winning number. A syndicate decides to buy N tickets, choosing every number once to be sure of winning a share of the jackpot. The total number of tickets purchased in this draw is 3.8N and the jackpot is W. Assuming that the non-syndicate punters choose their numbers independently and at random, find the most probable number of winning tickets and show that the expected net loss of the syndicate is approximately 5(1-6-28) W. N- 14 8 9 10 1 2 3 B 5 6 7 8 9 2.24 | 2.24 | 2.ZI 5.47 5.89 5.31 2.44 1.80 1.72 4.10 3.88 3.56 2.56 2.22 2.14 2.13 2.36 2.34 2.41 2.36 2.33 4.12 4.36 4.56 3.47 3.89 3.78 2.11 2.23 2.12 2.22 2.23 2.24 5.36 5.47 5.87 2.44 1.80 1.72 4.65 3.89 4.00 2.56 2.22 2.15 2.56 2.12 2.32 2.12 2.45 2.33 4.25 4.36 4.22 3.47 3.89 3.75 2.11 2.23 2.12 2.27 2.26 2.22 5.21 5.36 5.54 2.44 1.80 1.72 4.12 3.25 3.69 10 1 2 3 4 5 6 7 8 9 10 Payable Date Dividend Type share) 12/13/2018 9/13/2018 6/14/2018 3/8/2018 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.059 0.054 0.054 0.054 12/14/2017 9/14/2017 6/8/2017 3/9/2017 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.054 0.050 0.050 0.050 Date 2018 11/14/2018 8/15/2018 5/16/2018 2/14/2018 2017 11/15/2017 8/15/2017 5/16/2017 2/14/2017 016 11/15/2016 8/16/2016 5/17/2016 2/16/2016 2015 11/17/2015 8/18/2015 5/19/2015 2/17/2015 014 11/18/2014 8/19/2014 5/13/2014 2/18/2014 12/8/2016 9/8/2016 6/9/2016 3/10/2016 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.050 0.046 0.046 0.046 12/10/2015 9/10/2015 6/11/2015 3/12/2015 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.046 0.040 0.040 0.040 12/11/2014 9/11/2014 6/12/2014 3/13/2014 Cash Dividend Cash Dividend Cash Dividend Cash Dividend 0.040 0.036 0.036 0.036 0.147 The national lottery of Ruritania is based on the positive integers from 1 to N, where N is very large and fixed. Tickets cost 1 each. For each ticket purchased, the punter (i.e. the purchaser) chooses a number from 1 to N. The winning number is chosen at random, and the jackpot is shared equally amongst those punters who chose the winning number. A syndicate decides to buy N tickets, choosing every number once to be sure of winning a share of the jackpot. The total number of tickets purchased in this draw is 3.8N and the jackpot is W. Assuming that the non-syndicate punters choose their numbers independently and at random, find the most probable number of winning tickets and show that the expected net loss of the syndicate is approximately 5(1-6-28) W. N- 14