Consider the following random experiment: we toss a two-sided coin (H on one side and T on the other side) n = 3599 times. In any given toss, the probability the coin comes up H is p = P(H) = 0.78. Each time the coin comes up H we give Tom 2 dollars and take from Tom 1 dollar if it comes up T (so Tom either gets 2 or gets -1, i.e., loses 1 dollar). How many dollars do we expect Tom will get on "average", i.e., per experiment?

Community Answer

Let, x be a random variable which de notes the money that Tom get, while tossing a coin.{:[" Now, Prob. of getting head "=P(H)=0.78". "],[{:[=>" Prob. of getting tail "=P(T)=1-P(H)[[:'" Total "],[" prob. "1]]],[=1-0.78]:}],[=0.22]:}So, our probability distribution ... See the full answer