################################################### # Computer Lab 4 – F71SM ################################################### ## In the tasks below, fill in any missing code as ## required. ## Make sure you…
F71SM STATISTICAL METHODS Tutorial on Section 2 PROBABILITY 1. (a) BywritingA∪B∪CasA∪DwhereD=B∪C,verifythat P(A∪B∪C) = P(A)+P(B)+P(C)−P(A∩B)−P(A∩C)−P(B∩C)+P(A∩B∩C) (b) BywritingA∩B∩C asD∩C ,whereD=A∩B,verifythat P(A ∩ B ∩ C) = P(A)P(B|A)P(C|A…
F71SM STATISTICAL METHODS 1 DATA SUMMARY 1.1 Introduction Data: our data consist of a sample x = (x1, x2, . . . , xn) from…
################################################### # Computer Lab 4 – F71SM ################################################### ## In the tasks below, fill in any missing code as ## required. ## Make sure you…
1 Resources The home page for R is at http://www.r-project.org/. This contains links to obtain the software itself, gives access to the wealth of online…
F71SM STATISTICAL METHODS 3 RANDOM VARIABLES 3.1 Introduction: random variables, distribution functions, proba- bility mass and density functions Given a probability space (S, P ),…
F71SM STATISTICAL METHODS 5 MULTIVARIATE DISTRIBUTIONS AND LINEAR COMBINATIONS 5.1 Introduction — several random variables at once The concepts and descriptions of random variables introduced…
################################################### # Computer Lab 2 – F71SM ################################################### ## In the tasks below, some (but not all) R code is given ## for guidance. In…
################################################### # Computer Lab 3 – F71SM ################################################### ## In the tasks below, fill in any missing code as ## required. ## Make sure you…
F71SM STATISTICAL METHODS Tutorial on Section 1 DATA SUMMARY 1. The sums insured (£), in order, under 7 policies are as follows. 1,216 1,543 1,616…