1. The data below shows the result of an experiment testing the insulation effect of a gas (SE3). In the experiment a gaseous insulation was subjected to 100 high voltage pulses with a specied voltage, and it was recorded whether the insulation broke down (spark), or not. After each pulse the insulation was reestablished. The experiment was repeated at 12 voltage levels from 1065 kV to 1135 kV. > voltage=c(1065,1071 , 1075, 1083, 1089,1094,1100, 1107, 1111 , 1120,1128,1135) > trials=rep(100,12) > breakdown=c(2,3,5,11,10,21,29,48,56,88,98,99) Answer the following questions. (a) Fit a probit regression model using Gibbs sampling assuming a noninformative prior for the regression parameters. Show the density plots of the two regression parameters. (b) The LD50 (lethal dose 50) point is the value of the voltage that causes 50% breakdowns. Find the distribution of the LD50