Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ Directions: MAKE SURE TO COPY YOUR ANSWERS TO A SEPARATE SHEET FOR SENDING ME AN ELECTRONIC COPY LATER. [**1.**]{} (15) Suppose the random variable $Y$ has density $c t^3$ on the interval (1,3), 0 elsewhere. What must be the value of the constant $c$?