Question

Based on recent experience, ten-year-old passenger cars going through a motor vehicle inspection station have an 80% chance of passing the emissions test. Suppose that two hundred such cars will be checked out next week. Find the number of cars that are expected to pass.

Answer 1

160

Explanation:

The chance/probability of 10-year-old passenger cars passing an emission test is 80%.

200 10-year-old passenger cars will be tested next week.

How many of the 200 cars are expected to pass the emission test?

If there is an 80% chance of them passing the test then it means that 80% of the cars pass the test at any given time.

80% of 200 = 0.8 × 200 = 160

Hence, 160 (of the 200) cars are expected to pass the test.