In this video, I now continue with a typical problem that involves calculating probabilities and the quartiles from a continuous uniform / rectangular distribution.

The example is: A coffee machine dispenses coffee into cups. It is controlled electronically to randomly cut off the flow of coffee between 180 ml to 190 ml.

Find the probability that the machine dispenses i) less than 188 ml, ii) exactly 188 ml iii) between 182 ml and 186 ml, iv) the interquartile range