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What is a Probability Mass Function (PMF)?

A Probability Mass Function is a function used to describe the liklihood of the outcome of a random event that has a finite number of possible outcomes. The domain is the range of possible outcomes of the ra...
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Answered by Deleted T. • Maths tutor
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How many ways are there to arrange n distinct objects in a CIRCLE?

We recall that the number of ways to order n distinct objects in a STRING is n! (n factorial, n.(n-1).(n-2)...2.1 Familiarity with this is prerequisites for tackling this question)We begin, as is best in any...
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Answered by Max B. • Maths tutor
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Integrate ln(e^x)

This kind of question demonstrates the fact that certain problems can be expressed in much simpler ways so they be easily solved. In this particular example the question can be simplified to "integrate ...
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Answered by Adam T. • Maths tutor
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Integrate x*ln(x)

This example provides us with a better understanding of how "Integration by parts" works. Building an extensive knowledge of Integral calculus requires a lot of work, but once the basics are fully ...
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Answered by Maximilian M. • Maths tutor
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A circle with centre C has equation x^2 + y^2 + 2x + 6y - 40 = 0 . Express this equation in the form (x - a)^2 + (x - b)^2 = r^2. Find the co-ordinates of C and the radius of the circle.

We can express the equation of any circle in the form (x - a)^2 + (y- b)^2 = r^2 . The centre of the circle is then the point (a, b) and its radius is r . If we multiply out the brackets in the equation abov...
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Answered by Baran K. • Maths tutor
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