Question

in the city of milford, applications for zoning changes go thorugha two step process: a review by the planing comission and a final decision by the city council. At step 1 the planinf comission reviews the zoning change request and makes a positice or negative recommendation concerning the change. At step 2 the city council reviews the planning comission's recommendation and the votes to approve or to disapprove a zoning change, Consider the application process as an experiment. how many sample points are there for this experiment? List sample points, construct a tree diagram for the experiment.

Answer 1

The tree diagram is attached below

Explanation:

At step 1 the planing commission reviews the zoning change request and makes a positive or negative recommendation concerning the change.

that is there are two possible decision as positive recommendation or negative recommendation.

Let's denote them as + and - respectively.

At step 2 the city council reviews the planning commission's recommendation and the votes to approve or to disapprove a zoning change,.

That there are also two types of decision approve or disapprove

So total number of sample points are 2*2 = 4

sample points = {( +,approve), (+, disapprove), ( -, approve), (-, disapprove)}

let's construct tree diagram