Question: what a probability density function is, at least in relation to a certain problem. Why is it that the graph must be positive and maintain

what a probability density function is, at least in relation to a certain problem. Why is it that the graph must be positive and maintain an area of 1 underneath its curve? Additionally, what information in regards to the probability of a certain situation is gained from using a pdf? Any explanation or example of the graph's usage in relation to a certain situation would be great.

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