Write down the pdf's of the random variables generated by each the following codes:

1) f(x)=??

f.sim= function(n){

b = rbinom(n,1,0.2)

b*rnorm(n,10,1)+(1-b)*rnorm(n,10,10)

}

2) g(x)=??

g.sim =function(n){

b=2*rbinom(n,1,0.5)-1

b*rexp(n,10)

}