Toss a fair coin until you get a head, or five consecutive tails, whichever comes first. Define the random variable X= # of tosses.
A.) Determine the pmf for this random variable & variety that it satisfies the two conditions for a pmf.
B.) Find E(X)
C.) Find Var(x) and the Standard deviation.
A.) I have included a picture showing my work.
for B. I found the expectation of X to be equal to 62, work shown in photo.
C. I attempted this part but I'm unsure if it is correct