Discrete vs Continuous vs Random Variables Discrete vs Continuous vs Random Variables A random variable , formally, is a function $X: \Omega \to \mathbb{R}$ for some set $\Omega$. You can think of the set $\Omega$ as consisting of possible outcomes of a random experiment, and for any given input, $X$ tells you some measurement about the outcome. For example, if our random experiment is flipping a coin six times, $\Omega$ is the set $$\{(H,H,H,H,H,H), (H,H,H,H,H,T), (H,H,H,H,T,H), \dots, (T,T,T,T,T,T)\}.$$ A random variable $X$ might tell us the number of heads in the six coin flips, or it might tell us the number of runs of tails in the six coin clips. (If you want to be very precise, a random variable is a measurable function from measure space $(\Omega, \mathcal{F}, P)$ to some other set, but typically the range is $\mathbb{R}$, or perhaps $\mat
A continuity test verifies that current will flow in an electrical circuit (i.e. that the circuit is continuous). The test is performed by placing a small voltage between 2 or more endpoints of the circuit. The flow of current can be verified qualitatively, by observing a light or buzzer in series with the circuit actuates or quantitatively, using a multimeter to measure the resistance between the endpoint. In continuity testing the resistance between two points is measured. Low resistance means that the circuit is closed and there is electrical continuity. High resistance means that the circuit is open and continuity is lacking. Continuity testing can also help determine if two points are connected that should not be. Why Continuity Testing is Done? Regulation 610.1 of BS 7671:2008 IEE Wiring Regulations Seven
