5. Deep mixing is a ground improvement method developed for soft soils like clay, sitt, and peat. Swedish civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns. The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During penetration, the cone penetrometer measures the cone tip resistance (megapascals, MPa). The researchers established that tip resistance for the deep mixed soil followed a normal distribution with =2.2MPa and standard deviation =.9MPa. a. Find the probability that the tip resistance will fall between 1.3 and 4.0MPa. b. Find the probability that the tip resistance will exceed 1.0MPa. c. Find a value of tip resistance, T, such that 35% of all soil samples have tip resistance values that exceed T..