Content x + O ( 9 C' a learn.humber.ca/ultra/courses/_186175_1/c|/outline i} a a *- Quantitative Methods - BSTA-320-D8A Tests and Quizzes Quiz 4 - Posterior Probabilities Q Answer the following questions using the information provided below and the decision tree. P(sl) = 0.48 P(F | .51) = 0.66 P(U | 32) = 0.56 $3,800 -$500 $4,500 -$1,200 $3,800 $500 $4,500 $1,200 Without Sample _$500 Information $1,200 a Content x + O ( 9 C' a learn.humber.ca/ultra/courses/_186175_1/ci/outline i} G *- Quantitative Methods - BSTA-320-D8A Tests and Quizzes Quiz 4 - Posterior Probabilities a) What is the expected value of the optimal decision without sample information? $ U Calculate the required posterior probabilities accurate to 3 decimal places. Do not round intermediate calculations. b) If sample information is favourable (F), what is the expected value of the optimal decision? $ U c) If sample information is unfavourable (U), what is the expected value of the optimal decision? $ D d) What is the expected value with sample information, Esz'thSI? $ D e) Calculate EVSI? $ 1