
The warranty costs 200 euros and is worth 1000 euros if his phone breaks. John just bought a brand new cell phone and is considering buying a warranty. (2) Expected value uses probability to tell us what outcomes to expect in the long run. (1) Assume a discrete random variable can take with the probability of, respectively. Expected value of discrete random variable is the winning time for the men’s 100m dash in 2016 Olympics rounded to the nearest hundredthĤ. is the exact winning time for the men’s 100m dash in 2016 Olympics is the number of ants born tomorrow in the universe is the year a random student in the class was born is exact mass of a random animal selected at the New Orleans zoo.


We can’t count the number of possible values and can’t list the values. (2) Continuous random variable: can take all values in a given interval. The number of values can be finite and infinite, but we can list the values that a random variable could take on (1) Discrete random variable: has a countable number of possible values.

(2) We can assign values/variables to traditional variables or solve the values for them whereas random variables can take lots of values with different probabilities, and it makes much sense to talk about the probability of a random variable equaling to a value, the probability of a random variable less than/greater than a value, or the probability of a random variable having some propertiesģ. (1) Random variable is usually denoted as capital letter, such as traditional algebra variable is usually denoted as lower case, such as It’s a way to map/quantify outcomes of random processes to numbersĢ. Random variable: is a set of possible numerical values determined by the outcome of a random experiment.
