expected value
the average value of a chance process, after repeating many, many trials
E(X)=
sum of X*P(X)
expected value is the same as…
mean
st dev=
root of (sum of (X-mean)^2*P(X))
+/- by an RV by a constant…
center (mean) +/- by that constant, spread (st dev) stays the same, shape stays the same
x// an RV by a constant…
mean x// by the constant
st dev x// by the constant
variance x// by the constant
shape stays the same
E(X+Y)=
E(X)+E(Y)
st dev of X+Y
root of (st dev X^2+st dev Y^2)
E(X-Y)
E(X)-E(Y)
st dev of X-Y
root of (st dev X^2+st dev Y^2)