DISCUSSION Carefully discuss this assignment. This is the last assignment for the semester. This assignment worth 10% of your grade. NOTE: You are expected to show mastery of these questions to score...

DISCUSSION
1. Summarize the differences between probability distributions and empirical distributions.
Qno.1
Probability distribution is a distribution which consists of probability for a random variable taking a particular value.
Eg: Binomial with (6,0.1) (say)
We have distribution as
P(X=r) =
Thus we need not do any experiment to find out the probability for x taking any particular value. We can substitute the x value and get result without really doing the experiment.
Even continuous variables have probability distribution theoretical. Examples are normal, t distribution, Uniform, etc. In this case also we know the probability for a particular value of x from the std probability distribution for these and hence it is not necessary to do experiments and arrive probability.
But for empirical distribution, the probability depends on the data set. We do actual experiments and record data for sufficiently large number of trials....