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5.2 The Uniform Distribution Use the following information to answer the next ten questions. The data...

5.2 The Uniform Distribution

Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

1.5 2.4 3.6 2.6 1.6 2.4 2.0
3.5 2.5 1.8 2.4 2.5 3.5 4.0
2.6 1.6 2.2 1.8 3.8 2.5 1.5
2.8 1.8 4.5 1.9 1.9 3.1 1.6

Table5.2

The sample mean = 2.50 and the sample standard deviation = 0.8302.

The distribution can be written as X ~ U(1.5, 4.5).

17. In this distribution, outcomes are equally likely. What does this mean?

19. What are the constraints for the values of x?

21. What is P(2 < x < 3)?

23. What is P(x = 1.5)?

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