diff --git a/main.org b/main.org index e41abfe..b8d3f3b 100644 --- a/main.org +++ b/main.org @@ -414,9 +414,9 @@ To get probability from a to b (inclusive and exclusive doesn't matter in contin \[ E(X + Y) = E(X) + E(Y) \] + Variance -If +Variance is \[ V(X) = E(X^2) - (E(X))^2 \] -Then +Properties of variance are \[ V(aX) = a^2 V(X) \] \[ V(a) = 0 \] @@ -436,7 +436,6 @@ The moment generating function is given by \[ E(X^n) = (\frac{d^n}{dt^n} M(t))_{t=0} \] - * Binomial Distribution The use of a binomial distribution is to calculate a known probability repeated n number of times, i.e, doing *n* number of trials. A binomial distribution deals with discrete random variables. @@ -733,3 +732,7 @@ Here \sigma is standard deviation. + If $\rho = 0$ then $\theta = \frac{\pi}{2}$ + If $\rho = \pm 1$ then $\theta = 0$ + +TODO : Maybe an example here +* Sampling +Notes not made for this currently, a pdf was provided by teacher as, [[./sampling.pdf][./sampling.pdf]] diff --git a/main.pdf b/main.pdf index f96aefe..638ad78 100644 Binary files a/main.pdf and b/main.pdf differ diff --git a/sampling.pdf b/sampling.pdf new file mode 100644 index 0000000..cffdd0a Binary files /dev/null and b/sampling.pdf differ