Question

Q70 What is a probability density function and how is it relevant to the determination of probabilities associated with a continuous random variable? [3 Marks]

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Answer 1

In probability theory, a probability density function(PDF), or density of a continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.

The probability density function is used to calculate the probabilities associated with a continuos random variable as it is the area under the curve on the given interval.