Step 1: The R command runif() in the code block below generates 24 random numbers between 0 and 1, drawn from

Step 1: The R command runif() in the code block below generates 24 random numbers between 0 and 1, drawn from a uniform distribution. Notice that every time you run the code block you will get a different vector AA.

A<-runif(24, min=0, max=1) A Step 2 Write the value of AA you generated prior, as a vector in the code block below. Run the code to view the vector BB. A<-c( ) B<-rep(0, times=length(A)) #creating a vector of 0s, of length same as A B for(k in 1:length(A)){ B[k]<-prod(A[1:k]) } B Question 1(a) BB is not yet a probability distribution. Why not? What do we need to do to BB to make it a probability distribution? (Hint: Use the comments in the code chunk below to guide you) (1 mark) Step 3 Write the code to convert BB into a probability distribution. Use the comments in the code block to guide you. (1 marks) # a command to find the sum of all the entries in B # a command to rescale B so that the sum of all the entries in B is 1 #observe the sum of all entries of B now and check that it adds to 1.

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