- #1
Usagi
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http://img151.imageshack.us/img151/6002/variance.jpg
Just wondering, how did they get the part boxed in blue?
Thanks.
Just wondering, how did they get the part boxed in blue?
Thanks.
The part in the box comes from the observation that:Usagi said:http://img151.imageshack.us/img151/6002/variance.jpg
Just wondering, how did they get the part boxed in blue?
Thanks.
Usagi said:Thanks for that, I realized it too however how does one show that $P(X_j, X_i) = P(X_1, X_2) = P(X_1, X_5)$ and so on?
It isn't so obvious to me that $P(X_1, X_2) = P(X_1, X_5)$
Joint probability is a statistical measure that calculates the likelihood of two or more events occurring together. It is the probability of the intersection of two or more events.
To calculate joint probability, you need to multiply the individual probabilities of each event. For example, if event A has a probability of 0.5 and event B has a probability of 0.3, the joint probability of A and B occurring together is 0.5 x 0.3 = 0.15.
Joint probability calculates the likelihood of two or more events occurring together, while conditional probability calculates the likelihood of one event occurring given that another event has already occurred.
Joint probability is used in various fields such as finance, medicine, and engineering to analyze and predict the likelihood of multiple events occurring together. For example, in finance, joint probability can be used to calculate the probability of a stock portfolio's performance based on the performance of individual stocks.
No, joint probability cannot be greater than 1. This is because the probability of an event occurring cannot be greater than the total number of possible outcomes. Therefore, the maximum value of joint probability is 1, and it represents a 100% chance of the events occurring together.