In a country, a 40% of newborns has a constant mortality rate of (1/60) year1 ,and the rate (1/30) year'l corresponds to the remaining 50%. In other words. the distribution of the life time of a newborn chosen at random is a mixture of exponential distributions. Let 5(3) be the survival function of a newborn selected at random (whichever group she! he comes from}. Answer Questions 1115. Question 12 4 pts If a newborn is randomly selected from the country, please nd her/his expected life time. 072 068 070 Question 13 4 DB Find 3(40). 0 approximately 0.550? 0 approximately 0.5693 0 approximately 0.5134 0 approximately 0.409? Question 14 8 pts Now we are interested in the probability that a person taken at random from people aged 40 belongs to the first group. {In the notation we use, it is 101(40) ). Doyou expect this number to be larger than 0.4. equal 0.4. or less than 0.4? Briey explain your answer. 0 Less, because in the rst group the mortality rate is larger. 0 Equal, because the mortality rates have nothing to do with the groups' percentages given. 0 Greater, because in the rst group the mortality rate is larger. Question 15 3 p13 Find w1(40). 0 approximately 0.6393 0 approximately 0.5388 0 approximately 0.360