Question

A computer company makes desktop, laptop, and tablet computers at factories in two states: California and Texas. The California factory produces 40% of the company's computers and the Texas factory makes the rest. Of the computers made in California, 25% are desktops, 30% are laptops, and the rest are tablets. Of those made in Texas, 10% are desktops, 20% are laptops, and the rest are tablets. All computers are first shipped to a distribution center in Missouri before being sent out to stores. Suppose we select a computer at random from the distribution center and observe where it was made and whether it is a desktop, laptop, or tablet.

construct a tree diagram to model this chance process.

Answer 1

Here is a tree diagram to model the chance process of selecting a computer at random from the distribution center and observing where it was made and whether it is a desktop, laptop, or tablet:

The Tree Diagram

California (40%)

/ | \

Desktop (25%) Laptop (30%) Tablet (45%)

Texas (60%)

/ | \

Desktop (10%) Laptop (20%) Tablet (70%)

The tree diagram represents the probability of selecting a computer from a distribution center based on its location (California or Texas) and type (desktop, laptop, or tablet). The percentages at each branch demonstrate the likelihood of each scenario occurring within the given location.