1. Why do we always define the random variable models of probability distributions in the following manner? Let X be the random variable that represents the next measurement. 2. Identify the following random variables as continuous or discrete. a) the number of field goals a place kicker makes in the next football game. b) the length of time between the next two interruptions at a reception area c) the number of computer operations that be performed before the next hard drive crashes. d) the number of times that a roulette ball lands on a red number in the next twenty plays. e) the mark expressed as levels (1, 2, 3, 4) obtained on the next question of a test f) the time between two beeps on a geiger counter g) the errror in the next measurement of the time required for a runner to run the 100m sprint. h) the winning ticket number on the next lotto draw i) the next number between 0 and 1 that is produced by a random number generator j) the time that the next customer will arrive at a service desk, given that only one will arrive in the next 2 minutes.