26,674 regular season professional football games have been played from 1940 through 2015.118 of these Games ended in a tie from 1940 through 1973. The National Football League (NFL) instituted over time (OT) during the 1974 regular season. 527 regular season NFL games went into OT from 1974 through 2015 32 of the 526 NFL playoff« games played from 1940 through Super Bow150 (2016) have gone into OT. a) What percentage of NFL regular season games since 1940 have (or could have) gone into OT? b) What percentage of NFL playoff games since 1940 have gone into OT? c) What is the probability of finding 32 OT games in a random selection of 527 NFL regular season games? What does this result suggest about the true percentages of OT games in the regular season versus the playoffs? Support your claims with statistical analysis. d) If 50 playoff games are randomly selected, how many do we expect to go into OT? e) What is the probability that 50 randomly selected playoff games all end in regulation? Is this a rare event? Explain. How many of the 50 Super Bowls have gone into OT?