The data that follow are the square footage (in 1000 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

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

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

a. What type of distribution is this?

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

c. What is the height of f(x) for the continuous probability distribution?

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

 

e. What is P(2 < x=""3

 

f. What is P(x < 3.5|="" x="">4

 

g. What is P(x = 1.5)?

h. What is the 90^th percentile of square footage for homes?