please answer all the questions.

7. o -/3 points MendStat15 5.3.019. I} My Notes 0 Ask Your The number X of people entering the intensive care unit at a particular hospital on any one day has a Poisson probability distribution with mean equal to four persons per day. (a) What is the probability that the number of people entering the intensive care unit on a particular day is two? (Round your answer to three decimal places.) (b) Is it likely that x will exceed 8? Explain. l l l l l l l l l What is the probability that the number of people entering the intensive care unit on a particular day is less than or equal to two? (Round your answer to three decimal places.) i l l l l l K', Yes, x is less than 2 standard deviations above the mean. l A No, x is more than 2 standard deviations above the mean. i l You may need to use the appropriate appendix table or technology to answer this question. 8. o -/3 points MendStat15 5.3.020. [Q My Notes 0 Ask Your Teacher According to a study conducted by a university, children who are injured two or more times tend to sustain these injuries during a relatively limited time, usually 1 year or less. If the average number of injuries per year for school-age children is two, what are the probabilities of these events? (Round your answers to three decimal places.) (a) a school-age child will sustain two injuries during the year (b) a school-age child will sustain two or more injuries during the year (c) a school-age child will sustain at most one injury during the year You may need to use the appropriate appendix table or technology to answer this question. 9. o /3 points MendStat15 5.3.021. I} My Notes 0 Ask Your Teacher According to a study conducted by a university, children who are injured six or more times tend to sustain these injuries during a relatively limited time, usually 1 year or less. Let the average number of injuries per year for school-age children be six. (a) Calculate the mean and standard deviation for X, the number of injuries per year sustained by a schoolage child. (Round your answers to three decimal places.) [4 = falls 0 = falls (b) According to Tchebysheff's Theorm, within what limis would you expect the number of injuries per year to fall, at least threequarters of the time? (Round your answer up to the nearest whole number.) 1 fall to falls