Consider an experiment where we ask what type of car – either domestic (e. g., chevrolet, ford, chrysler, foreign built abroad (e. g. a toyota built in japan) or foreign built in the u. s. (e. g., a toyota built in kentucky) – and the style (sedan, hatchback, truck or suv) of the automobiles driven by 20 different people. how many outcomes are in the sample space?

outcomes for this sample space (under some considerations)

Step-by-step explanation:

Let's define the multiplication principle.

If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are

(n1) x (n2) x ... x (ni)

In this exercise n1 = domestic

n1 is the total classes for domestic category

(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)

n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)

n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)

n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4

The possible outcomes for one person in the experiment are

Where what it is brackets are the possible categories for that classification.

We have 20 different people then are the possible outcomes sample space

In the sample space there are outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.

15

step-by-step explanation: