Monthly Archives: February 2016

In this video we are given a random variable X = {-3,-2,-1,1,2,3} and the probability mass function is given by . We have to find the value of and we have to find another random variable and the corresponding density … Continue reading →

A conservative design team, call it C and an innovative design team, call it N, are asked to design a new product within a month. From past experience we know that: The probability that team C is successful is The … Continue reading →

This is from the book Introduction to Probability. We know that Random Variable is a function from sample space to the real number. It is a function that assigns a numerical value to each possible outcome of the experiment. The … Continue reading →

This rules explain how we deal with conditional probabilities. It generalizes the case when we can have events.

The definition of conditional Independence follows from the definition of Independence. For example if two events and are independent. Then we denote this fact by . Therefore the conditional event will be. Suppose event happened. Are the two events still … Continue reading →

Alice and Bob each choose at random a real number between zero and one. We assume that the pair of numbers is chosen according to the uniform probability law on the unit square, so that the probability of an event … Continue reading →

Mary and Tom park their cars in an empty parking lot with  consecutive parking spaces (i.e, n spaces in a row, where only one car fits in each space). Mary and Tom pick parking spaces at random. (All pairs of … Continue reading →