Please answer all the questions.

10. o -/3 points MendStat15 5.3.022. I} My Notes 0 Ask Your Teacher If a drop of water is examined under a microscope, the numberx of a specic type of bacteria present has been found to have a Poisson probability distribution. Suppose the maximum permissible count per water specimen for this type of bacteria is eleven. If the mean count for your water supply is six and you test a single specimen, is it likely that the count will exceed the maximum permissible count? Explain. (Round your bacteria value up to the nearest whole number, and round your probability to three decimal places.) --Seleot--- , according to Tchebysheff's Theorem, at least three-quarters of the observations should fall between 1 bacterium and bacteria present, inclusive, and the exact Poisson probability is P(x > 11) = You may need to use the appropriate appendix table or technology to answer this question. 11. 0 -I2 points MendStat15 5.3.023. I} My Notes 0 Ask Your Teacher An outbreak of E. Cali infections in July of 2017 occurred in southwestern Utah, with a dozen people sick, and the conrmed deaths of two children. E. coli infections and outbreaks have been on the rise since 2009, reaching an incidence rate of 2.85 cases per 100,000 persons.+ Children under the age of ve have a higher incidence rate7.86 cases per 100,000. Using the rate of 2.85 cases per 100,000, evaluate the following probabilities. (Round your answers to three decimal places.) (a) What is the probability that at most one outbreak per 100,000 is reported across the United States this year? (b) What is the probability that more than four outbreaks per 100,000 are reported across the United States this year? You may need to use the appropriate appendix table or technology to answer this