A Consulting company approaches the firm that they can perform a more comprehensive study and say which state of nature would take place next year to $275,000. Should management buy this study performed? (12) f. If sample information is provided by an analysist, the result of the sample information, namely the report will be either positive or negative. No matter which result occurs, the choice to select option "introduce" or option "don't introduce" exists. And no matter which option is chosen, the eventual outcome of the states of nature will be good economic conditions or poor economic conditions: The probability of getting a positive" report given that state of nature is good is 0.8. The probability of getting a positive" report given that state of nature is poor is 0.1. 1. Find the probability of occurring good economic conditions given that report is positive" 2. Find the probability of occurring good economic conditions given that report is negative" A Consulting company approaches the firm that they can perform a more comprehensive study and say which state of nature would take place next year to $275,000. Should management buy this study performed? (12) f. If sample information is provided by an analysist, the result of the sample information, namely the report will be either positive or negative. No matter which result occurs, the choice to select option "introduce" or option "don't introduce" exists. And no matter which option is chosen, the eventual outcome of the states of nature will be good economic conditions or poor economic conditions: The probability of getting a positive" report given that state of nature is good is 0.8. The probability of getting a positive" report given that state of nature is poor is 0.1. 1. Find the probability of occurring good economic conditions given that report is positive" 2. Find the probability of occurring good economic conditions given that report is negative