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 33,.\"th (survival probability of patients treated by the drug) and Splaoebo (survival probability of patients given a placebo) are determined to 15% be; Strentecf(t) = E_( ): and Spgmbo) = 3 l-N._ (a) (3 marks) Use the given function 15! Splaoeboct) = e m to calculate the average survival probability of the placebo group for the rst 10 months of the study. Round to 2 decimal places. Survlvlll prohaillllty E 1. (b) (3 marks) The efficacy of the drug at any time 1' 2 ID can be defined as E(T) = / (Streatedlt) Splmbon cit. 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 EGO). Use right endpoints. Round your nal answer to 2 decimal places