Consider a uniform distribution created by a random number generator. the distribution looks like a square with a length of 1 and a height of 1. the random number generator creates any number between 0 and 1. find the following probabilities:

a) p(0 < = x < = 0.4)
b) p(0.4 < = x < = 1)
c) p(x > 0.6)
d) p(x < = 0.6)
e) p(0.23 < = x < = 0.76)

For the answer to the question above, you will find probabilities for continuous r.v.'s like P(a < X < b) you just find the area under the density curve (what you have called the distribution). In this case, that's finding the area of a rectangle which means that if you can calculate sq ft for carpeting, you can do this problem. 

For example, 
e) (0.76 - 0.23)*1 = 0.53 

For this problem the answer is the area above the interval:
eg. the probability of a) is 0.4 x height or 0.4 x 1 = 0.4. 
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