he Flint Lockwood Diatonic Super Mutating Dynamic Food Replicator, also known as the FLDSMDFR (see the movie Cloudy with a Chance of Meatballs for details), is a machine that produces different food items at random. As you know by now, each time someone pushes the button at the front of the FLDSMDFR, it produces one of 25 food items, each item being equally likely to be produced and independent of previously produced food items. You also know that two items that can be produced by the machine are a hot dog and a hamburger. rWhat is the density of Y? [4 marks] You are told the FLDSMDFR is currently producing either a hot dog or hamburger (but you don't know which one of the two). If the unknown food item is produced in less than 2 minutes, what is the probability that it actually is a hamburger?