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Results tagged with conditional-probability
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user 362295
The probability that an event A will occur, when another event B is known to occur or to have occurred. It is commonly denoted by P(A|B).
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hypothetical statistical test - type I and type II errors
A hypothetical statistical hypothesis test that can be used for any type of hypothesis is conducted by drawing a random number between 0 and 1 and rejecting the null hypothesis if it is less than 0.05 …
- 25
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Derive E[Y|X] when the joint probability is given
Now, consider joint density of $X, Y$ :
$$
f_{X, Y}(x, y)=\left\{\begin{array}{l}
\frac{1}{\pi} ; X^2+Y^2<1 \\
0 ; \text { Otherwise }
\end{array}\right.
$$
Derive $E(Y \mid X)$.
I know how to calcula …
- 25