4. [-/4 Points] DETAILS PODSTAT6 6.4.043. MY NOTES ASK YOUR TEACHER An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below. Agree Disagree Total Football Fan 683 533 1,216 Not a Football Fan 199 681 880 Total 882 1,214 2,096 Suppose that a survey participant is to be selected at random. Consider the following events. A = event selected participant agreed that the rules have been effective D = event selected participant disagreed that the rules have been effective F = event selected participant was a football fan Calculate the following probabilities. (Round your answers to four decimal places.) (a) P(A) = (b) P(D ) = (C) P(AIF ) = ( d ) P ( AIFC ) =