4. Electricity power failures occur at the Sun Electric Company at an average of 3 failures every twenty weeks. Assume that electric power failures occur independently. a). Let F be the number of failures in a week. What are the distribution, parameter(s) and support of F? F - Parameter Support of L = { b) What is probability that there will be no failures in a week? c) Consider a full calendar year. (Note: 1 calendar year = 52 weeks.) What is the probability that there were 7 power failures in 2016 and 8 in 2017? What distribution and parameter(s) are you using? d) The Central Energy Regulatory Commission will impose a fine of $1000 for all power outages exceeding 5 in a calendar year. What is average amount of fines that Sun Electric Company can expect to pay during the next calendar year and what is its standard deviation