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(2) For the sport ot NFL football during the 2017 season there were 1307 touchdowns scored during the regular seasom There re 256 games

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(2) For the sport ot NFL football during the 2017 season there were 1307 touchdowns scored during the regular seasom There re 256 games played during the season. You will use the Poisson distribution to estimate probabilities ot games a certain number ot touchdowns (a, 4 pts) What was the mean number ot touchdowns (TD) scored in each game during the season? (round the answer to the nearest 0.0001) mean TD 5.1055 (b, 1 pt ea) Complete the chart at the right The first column lists the number ot touchdowns in a game: this is tilled in already. The second column is tor the predicted probability that a game chosen at random will have that many touchdowns scored. calculate these values, round these values to the closest 00001 The third column is tor j.h)ur Oest orediction about the number ot games during the season that had that many touchdowns scored: mund these values to the closest whole number o 1 2 3 4 5 6 7 8 g 10 Probability 0.0061 0.0310 0.0790 0.1345 0.1717 0.1753 0.1491 0.1088 0.0694 0.0394 0.0201 Predicted games (c: 4 pts) On Jan 10, 2010 The Green Bay Packers and Arizona Cardinals played a playoff game in there were 13 touchdowns scorel using the data above: what is the probability that a random game would have that many or more touchdowns? (round the answer to the nearest 00001) 2 8 20 34 44 45 38 28 18 10 5 Prob (13+TD) - 0.0024

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