Problem 3. Statistics are Irreplaceable (10 points) American singer-songwriter Beyonc has released 7 studio albums through the years. The albums have 15, 16, 16, 12, 14, 12, and 16 songs each, respectively. Suppose you had all 7 albums, and picked one of them uniformly at random. State the probability distribution over the number of songs the album has. Then compute the expected value, variance, and standard deviation of the number of songs the album has. Show your work. Solution