A Fortune 500 company has 8,000 employees. The employees were recently asked to complete a survey...

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A Fortune 500 company has 8,000 employees. The employees were recently asked to complete a survey regarding their preferences between a four-day work week, a five-day work week, or exible hours. Regardless of the employees' preferences they would be required to work 40 hours per week. The results of the survey as well as the respondents gender are listed in the table below. Four-day Work Week Five-day Work Week Flexible Hours Male 550 1200 275 Female 800 2175 3000 Total 1350 3375 3275 1. Given that a respondent is in favor of a four-day work week, what is the probability that the respondent is a female? 2. What is the probability that that a randomly chosen respondent is a male and is in favor of flexible hours? 3, The IRS plans to audit twenty percent of all tax returns going forward: Past data has indicated that only 3 percent of the audited tax returns have an error in the calculations. Of all the tax returns, 2.5 percent have an error in the calculations. Calculate the probability that a tax return will be audited and will have an error in its calculations. A Fortune 500 company has 8,000 employees. The employees were recently asked to complete a survey regarding their preferences between a four-day work week, a five-day work week, or exible hours. Regardless of the employees' preferences they would be required to work 40 hours per week. The results of the survey as well as the respondents gender are listed in the table below. Four-day Work Week Five-day Work Week Flexible Hours Male 550 1200 275 Female 800 2175 3000 Total 1350 3375 3275 1. Given that a respondent is in favor of a four-day work week, what is the probability that the respondent is a female? 2. What is the probability that that a randomly chosen respondent is a male and is in favor of flexible hours? 3, The IRS plans to audit twenty percent of all tax returns going forward: Past data has indicated that only 3 percent of the audited tax returns have an error in the calculations. Of all the tax returns, 2.5 percent have an error in the calculations. Calculate the probability that a tax return will be audited and will have an error in its calculations.