Consider the continuous variable X which is uniformly distributed on the interval (3,15). The variance of X is 12.
a) write down the density function and plot the density curve of X.
b) write down the cumulative frequency (or distribution) function and plot the cumulative frequency curve of X.
c) what are the mean and median of X? Briefly justify your answer.
d) find P(8.2 < X < 13.8) and P(X>9).
e) Standardize the value x=8.6
show work completely.