Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the range is to be all numbers between 0 and2. Call the random number generatedY. Then the density curve of the random variableYhas constant height between 0 and2, and height 0 elsewhere.

(a) What is the height of the density curve between 0 and2? (Enter your answer to two decimal places.)

Draw a graph of the density curve.

(b) Use your graph from (a) and the fact that probability is area under the curve to findP(Y1.8).

(Enter your answer to three decimal places.)

(c) FindP(0.9<Y<1.8).

(Enter your answer to three decimal places.)

(d) FindP(Y0.5).

(Enter your answer to three decimal places.)