1. With a Swedish Kroner, the likelihood of getting Heads when it is spun on edge is 0.2. If X is the random variable where X(H)=1, X(T) = -1, find the expected value E(X), the variance Var(X), and express X in its standard form.
2. a)In rolling a fair die, the probability of any number appearing is 1/6. Find the expected value and variance.
b) Consider two fair dice, the number 1 cannot occur, ao this event probability is 0. What's probability of 2, 3, 4.... Find the expected value and variance.
3. Show that Var(aX + b) = a^2*Var(X). The standard form is Z = (X-E(X))/δ where δ^2 = Var(X). Compute Var(Z).