Continuous random variable
Unlike a discrete random variable, a continuous, random variable (CRV) can take on any value within a certain range - not just a set number. This means that instead of counting the number of outcomes, we measure the probability of an outcome occurring within a specific interval.
The probability of getting exactly any specific value is actually zero for a CRV, because there are infinitely many possible values. either side of it.
flashcards
| Question | Answer |
|---|---|
| What is a continuous random variable? | It can take any value within a range, not just a set number of values; probability is measured over intervals. |
| What is the probability of a continuous random variable taking exactly one specific value? | It is zero, because there are infinitely many possible values. |
| What is the key difference between a discrete random variable and a continuous random variable? | A discrete variable takes a set number of outcomes; a continuous variable takes any value in a range, so probability is measured over intervals. |
| Why can’t you count the number of outcomes for a continuous random variable the way you do for a discrete one? | Because a continuous variable can take infinitely many values within a range, so you measure probability over intervals instead of counting outcomes. |