Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the outcomes are to be distributed uniformly between 0 and 5. This means it has density curve as shown below. f(x) 0 a b 2 X where a = 0 and b = 5. a. What is the height of the density curve between 0 and 5? Draw a graph of the density curve. b. Use your graph from part (a) and the fact that areas under the curve are proportions of outcomes to find the proportion of outcomes that are more than 2. c. Find the proportion of outcomes that lie between 2.5 and 3.0.