Question 5 of 5 Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the random number Y can take any value between 0 and 2. Then the density curve of the outcomes has a constant height between 0 and 2, and height 0 elsewhere. (a) Is the random variable Y discrete or continuous? Why? Select the correct explanation. The random variable Y is continuous, because the length of the interval [0, 2] is finite. O The random variable Y is discrete, because the sample space {0, 2} is finite. O The random variable Y is continuous, because there is an infinite number of possible values in the interval [0, 2]. O The random variable Y is discrete, because the length of the interval [0, 2] is finite. (b) What is the height of the density curve between 0 and 2? (Enter an exact answer in decimal form to one decimal place.) height = (c) On separate paper, draw a graph of the density curve. Use this graph and the fact that probability is the area under the curve to find P(Y