SOLUTION: State and prove that two events A and B will both occur is equal to the probability that one of the events will occur multiplied by the conditional probability that the other event

Question 1174703: State and prove that two events A and B will both occur is equal to the probability that one of the events will occur multiplied by the conditional probability that the other event will occur given that the first event has occurred.
Q.No.3. Given the following set of values. Determine the equation of regression line Y on X.
X 0 5 10 15 20 25
Y 12 15 17 22 24 30
(i) Find the estimated value of Y when X = 22.
(ii) Find the standard deviation of least square regression line.
(iii) Calculate the correlation between the variable X and Y.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The first statement is immediate consequence of the notion/conception of the CONDITIONAL probability.

So, if you know that definition of this basic conception, the proof (in one line) must be clear to you.

If, in opposite, you don't know the definition of this basic conception, then LEARN it
from any textbook or from any Internet source.

For example, from these my two lessons, referred below.

-------------

On conditional probability, see the lessons
    - Conditional probability problems
    - Conditional probability problems REVISITED
in this site.

Read them to develop your skills and knowledge.

/\/\/\/\/\/\/\/

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