2. Consider a binary code with 5 bits {0 or 1} in each code word. An example of a code word is 01001. in each code word, a bit Is zero wlth probability 0.8, Independent of any other bit a. what is the probability that a code word contains at least 2 zeroes? b. If the code word was 50 bits long, what is the probability that it would contain less than 35 zeroes? 3. In a certain lottery game. the chance of getting a winning ticket is exactly one in a thousand. Suppose a person buys one ticket each day (except on the leap year day February 29) over a period of fty years. a. What is the expected number E['I\"] of winning tldtets In fifty years? b. if each winning ticket is worth $1000, what is the expected amount E[R] collected on these winning tickets? c. If each ticket costs 52, what is your expected net prot Em]