Answer Happy

include a graph of the density curve and the area trying to find for both problems a and b before completing 12.52
12.51 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(Y≤1). 2.52 More Random Numbers. Find these probabilities as areas under the density curve you sketched in Exercise 12.51. (a) P(0.5<Y<1.3) (b) P(Y≥0.8)