Suppose the MTV Video Music Awards allows users to vote for the following for "video of the year." i. Miley Cyrus - "Wrecking Ball" (https://www.youtube.com/watch?v=My2FRPA3Gf8 ) ii . Iggy Azalea- "Fancy" (https://www.youtube.com/watch?v=O-zpOMYRiOw ) ili. Brad Paisley - "The Ballad Of Honey Boo Boo" (https://www.youtube.com/watch?v=11Uq3iGESYM ) Of those making deliberate votes 50% would vote for Brad Paisley - "The Ballad of Honey Boo Boo," 30% for Miley Cyrus - "Wrecking Ball" and 20% for Iggy Azalea- "Fancy." However, 25% of voters are lazy and just click one of the three options with equal probability. Part A (10 Points) i. Let M be a random variable that represents the expected votes for Miley Cyrus - "Wrecking Ball" ii. Let I be a random variable that represents the expected votes for Iggy Azalea- "Fancy" ili. Let B be a random variable that represents the expected votes for Brad Paisley - "The Ballad Of Honey Boo Boo" Calculate M, I and B. Show your work. Part B (5 Points) Miley Cyrus' "Wrecking Ball" was voted for 9 times out of ten votes. How confident are you that the initial estimate that 30% would vote for Miley Cyrus - "Wrecking Ball" is accurate? Part C (5 Points) Miley Cyrus' "Wrecking Ball" was voted for 500 times out of 1000 votes. How confident are you that the initial estimate that 30% would vote for Miley Cyrus - "Wrecking Ball" is accurate