(a) In this part of the question, you should calculate the required probabilities using tables, not Minitab, and show your working. (You may use Minitab to check your answers, if you wish.) A model for normal human body temperature, X, when measured orally in °F, is that it is normally distributed, X~N(98.2, 0.5184). (i) According to the model, what proportion of people have a normal body temperature of 99 °F or more? (ii) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (iii) Let W denote normal human body temperature, when measured orally in °C. Given that W = (X-32) and X ~ N(98.2, 0.5184), what is the distribution of W? (iv) According to the model that you just derived for W, what proportion of people have a normal body temperature of between 36 °C and 36.8 °C?