The 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. (A) [4 marks] The production time of a randomly selected hamburger produced by the FLDSMDFR is considered to be a random variable X with density fx (I) =i for 1