EXAMPLE 3.5.20

The Skuzuzi Kamikaze sport/utility vehicle is manufactured at two plants, one in Japan and one in the US. Sixty percent of the vehicles are made in the US, while the others are made in Japan. Of those made in the US, 5% will be recalled due to a manufacturing defect. Of those made in Japan, 3% will be recalled.

Find the probability that a vehicle will be...

1. ...made in the US and not recalled.

2. ...made in Japan and recalled.

SOLUTIONS

Let E be the event that a vehicle is made in the US. Let F be the event that a vehicle will be recalled. Note that E and F are dependent events, since the probability that a vehicle will be recalled is affected by whether or not it was made in the US.

1.

2.