5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows the probability of patient survival as a function of time, t (in months). The functions for Emmi (survival probability of patients treated by the drug) and Spruce\" (survival probability of patients given a placebo) are determined to 15 be: Strangeglit) = ca(f and Samo) = 81\". (a) (3 marks) Use the given Function 2: prmbo) = e_% to calculate _l the average survival probability of E the placebo group for the rst 10 j'\" months of the study. Round to 2 5 decimal places. 1. (b) (3 marks) The efficacy ofthe drug at any time T 2 0 can be defined as Eh) = / (Sweatet) Spgmbo dt. 0 Note: This can be thought of as representing a difference of areas. Use a Riemann sum with 5 sub-intervals of equal width to approximate EUU). Use right endpoints. Round your nal answer to 2 decimal places