What is the probability associated with the area underneath

What is the probability associated with the area underneath the probability density function (PDF) curve of a t-distribution from 0 to ? (Hint: draw a picture of the scenario)

Solution

Area is 1/2 because the total area under any pdf is 1, and t-distribution is symmteric with respect to zero, implying that area of 0.5 lies both below and above the point zero.