<s>[INST] A researcher is studying the feeding habits of a particular species of bird. She observes that the birds have a preferred feeding time during the day, the probability of a bird eating at any given minute during this preferred feeding time is inversely proportional to the square root of the time of day. Specifically, if \(t\) represents time in minutes (0 \(\leq t\leq 60\)), then the probability of eating is given by[/INST]