FIT5197 - Modelling for Data Analysis

Question on Sampling

Please see question below-

Task C: Sampling Q]: In R, develop functions to generate samples from the probability dis tribution dened by one of the following, using runi) as the onlyr builtin source of (pseudo) random numbers: 1 _ p(:r:) = 134261 2'\" formE [0,2] 10(3) = 2323 [In-2:51 acsn 05 03 c 913:5) 95:11 w 1' 0.9 0.1 r PLR=FJ 9:11:11 0,8 (12 0.1 O. I Figure 1: Simple Bayesian Network for :1: > U and the single case when A = 2. First write a sampling algorithm that uses the rejection method (for either one of the versions 121(3) above). In your report describe howr this was designed. Dene this in R, sample 200 values and histogram them. In the long run what proportion of samples will your algorithm have to reject