1. There are 23 people at a party. Explain what theprobability is that any two of them share the same birthday.2. Acold and flu study is looking at how two different medications work on sorethroats and fever.Results are asfollows:·Sore throat – Medication A:Success rate – 90% (101 out of 112 trials weresuccessful)·Sore throat – Medication B:Success rate – 83%(252 out of 305 trials were successful)·Fever – Medication A:Success rate – 71%(205 out of 288 trials were successful)·Fever -Medication B:Success rate -68%(65 out of 95 trials weresuccessful)Analyze the data and explain whichone would be the better medication for both a sore throat and a fever.3. The United States employed a statistician toexamine damaged planes returning from bombing missions over Germany in WorldWar II. He found that the number ofreturned planes that had damage to the fuselage was far greater than those thathad damage to the engines. Hisrecommendation was to enhance the reinforcement of the engines rather than thefuselages. If damage to the fuselage wasfar more common, explain why he made this recommendation.COMPLETE QUESTIONS; EXPLAIN ANSWERS AND SHOW WORK; STATISTICS/PROBABILITY PROBLEMS; COMMON LOGIC.