7. Random Numbers. Many random number generators allow users to specify the range of the random numbers to be produced. Suppose you specify that the random number Y can take any value between 0 and 2. Then the density curve of the outcomes has constant height between 0 and 2 and height 0 elsewhere. a. Is the random variable Y discrete or continuous? Why? b. What is the height of the density curve between 0 and 2? Draw a graph of the density curve. c. Use your graph from part (b) and the fact that probability is area under the curve to find P(YS1).

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