correlation activity so get your hands dirtyroll up your sleevesi want you to use the ovnqzdpw function that' actually way to get numpy to compute covariance for you we saw how to compute correlation using the dpssdpfg function so go back and rerun these examples just using the ovnqzdpw function and see if you get the same results or not it should be pretty darn closeso instead of doing it the hard way with the covariance function that wrote from scratchjust use numpy and see if you can get the same results againthe point of this exercise is to get you familiar with using numpy and applying it to actual data so have at itsee where you get and there you have itcovariance and correlation both in theory and in practice very useful technique to haveso definitely remember this section let' move on conditional probability nextwe're going to talk about conditional probability it' very simple concept it' trying to figure out the probability of something happening given that something else occurred although it sounds simpleit can be actually very difficult to wrap your head around some of the nuances of it so get an extra cup of coffeemake sure your thinking cap' onand if you're ready for some more challenging concepts here let' do this conditional probability is way to measure the relationship between two things happening to each other let' say want to find the probability of an event happening given that another event already happened conditional probability gives you the tools to figure that out what ' trying to find out with conditional probability is if have two events that depend on each other that iswhat' the probability that both will occurin mathematical notationthe way we indicate things here is that ( ,brepresents the probability of both and occurring independent of each other that iswhat' the probability of both of these things happening irrespective of everything else whereas this notationp( | )is read as the probability of given sowhat is the probability of given that event has already occurredit' little bit differentand these things are related like this