please answer all the questions

4. o -/3 points MendStat15 5.3.012. [Q My Notes 0 Ask Your Teacher The number of bankruptcies led in the district court has a Poisson distribution with an average of 4.5 per week. (a) What is the probability that there will be no bankruptcy lings during a given week? (Round your answer to three decimal places.) (b) What is the probability that there will be at least one bankruptcy ling during a given week? (Round your answer to three decimal places.) (c) Within what limits does Tchebysheff's Theorem suggest you would expect to see the number of bankruptcy lings per week at least 88.88% of the time? (Round your answer up to the nearest whole number.) 0 to lings You may need to use the appropriate appendix table or technology to answer this question. 5. o -/1 points MendStat15 5.3.017. [Q My Notes 0 Ask Your Teacher The probability that a person will develop the flu after getting a u shot is 0.05. In a random sample of 100 people in a community who got a u shot, what is the probability that S or more of the 100 people will get the u? Use the Poisson approximation to binomial probabilities to nd your answer. (Round your answer to three decimal places.) You may need to use the appropriate appendix table or technology to answer this question. 6. o -/3 points MendStat15 5.3.018. I} My Notes 0 Ask Your Teachei The increased number of small commuter planes in major airports has heightened concern over air safety. An eastern airport has recorded a monthly average of eight near misses on landings and takeoffs in the past 5 years. (Round your answers to three decimal places.) (a) Find the probability that during a given month there are no near misses on landings and takeoffs at the airport. (b) Find the probability that during a given month there are four near misses. (c) Find the probability that there are at least four near misses during a particular month. You may need to use the appropriate appendix table or technology to answer this