Question 1: (12.51) Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the random numberYcan 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.

What is the height (0.01) of the density curve between 0 and 2?

Use the graph and the fact that probability is area under the curve to find P(Y= 1.9) (0.01)

Question 2: Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the random numberYcan 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.

In order to answer the following questions, first draw a density curve describing this distribution. Pay attention to the height of the curve!

Now find the following probabilities.

P(0.3

P(Y 0.7 ) is ____.