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okay so for probability density functions I find it easiest to start by thinking about an example so lets think about the time it takes someone to drive from Los Angeles to San Francisco for example so this if we plot this we know that and this is the time on this axis here and lets say we just say the number of people who drive on a particular day well we know that nobodys going to take negative time and probably if someone is breaking the speed limit they might take five hours so therell be some people who take five hours many more people will take six hours and probably some people will take a break and take seven hours more of them I expect also some people will take a couple of hours break and take eight hours less people will be taking nine and probably not many you take ten so this is a if we map it in terms of whole hours then wed have a histogram like this where these are the number of people on that given day well what if we so this is the number what if we take the num