# Question

Show that the variance of a Cauchy random variable is undefined (infinite).

## Answer to relevant Questions

Let cn be the n th central moment of a random variable and µ n be its n th moment. Find a relationship between cn and µk, k = 0, 1, 2… Find the variance and coefficient of skewness for a geometric random variable whose PMF is You may want to use the results of Exercise 4.13. A professor is studying the performance of various student groups in his class. Let the random variable X represent a student’s final score in the class and define the following conditioning events: • F = {student is ...A real number between 0 and l00 is randomly selected according to a uniform distribution and rounded off to the nearest integer. For example, 36.5001 is rounded off to 37; √3 is rounded off to 2; and 69.49 is rounded off ...For some integer and constant , two discrete random variables have a joint PMF given by (a) Find the value of the constant in terms of L. (b) Find the marginal PMFs, P M (m) and PN (n). (c) Find Pr (M + N < L / 2).Post your question

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