ation.com/ext/map/index.html?_com-con&external browser palhunchUd http:$25 Tube Q Maps N Gmail ) Log In | Federal S. 14mmeducation com $25.Finghmiddleware%252Fmheprodu The mowerhubcam. Lumen OHM . MTH Topic GRADED ASS upter 6 GRADED Homework 8 When the number of trials. mis large, binomial probability tables may not be available. Furthermore, if a computer is not available hand calculations will be tedious. As an alternative, the Poisson distribution can be used to approximate the binomial disinbution when n is large and p is small. Here the mean of the Poisson distribution is taken to be a - pp That is, when a is large and p is small we can use the Poisson formula with u - ap to calculate binomial probabilities we will obtain results close to those we would obtain by using the binomial formula A common rule is to use this approximation when a/ p2 500 To illustrate this approximation, in the movie Coma, a young female Intern at a Boston hosp al was very upset when her friend, a young nurse went into a coma during routine anesthesia at the hospital. Upon investigation, she found that is of the last 27000 healthy patients at the hospital had gone Into comas during routing anesthesias. when she confronted the hospital |adminstrator with this fact and the fact that the national average was + out of 40,000 healthy patients going into comas during joutive anesthesias the administrator replied that 13 out of 27.000 was still quite small and thus not that unusual. References Note; It turned out that the hospital administrator was part of a compiracy to sell body parts and was purposely putting hedithy adults into comas during routine anesthesias. If the intern had taken a statistics course. she could have avoided a great deal of danger" (o) Use the Poisson distribution to approximate the probability that is or more of 27.000 healthy patients would uip into comas during routine anesthesias. if in fact the true average at the hospital was + in 40,000 Hint @ -no - 27000 (4 40 000) . > > (Leave na call blank. You must enter "O" for the answer to grade correctly. Do not round intermediate calculations. Round final answer to S decimal places ) Probably practices regarding (b] Given the hospital's record and part a, what conclusion would thaw about the l The boughtals haib of comas isDutility tables may not be available. Furthermore, If a computer is not available. hand calculations will be tedious As an alternative, the Poisson distribution can be used to approximate the binomial distribution when n is large and p is small. Here the mean of the Poisson distribution is taken to be / = no, That is. when n is large and p is small, we can use the Poisson formula with = ap to calculate binomial probabilities; we will obtain results close to those we would obtain by using the binomial formula. A common rule is to use this approximation when n / p 2 500. To illustrate this approximation, in the movie Coma, a young female Intern at a Boston hospital was very upset when her found, a young nurse, went into a coma during routine anesthesia at the hospital. Upon investigation, she found that 13 of the last 27000 healthy patients at the hospital had gone into comas during routine anesthesius. When she confronted the hospital administrator with this fact and the fact that the national average was 4 out of 40,000 healthy patients going into comes during routine anesthesias, the administrator replied that 13 out of 27,000 was still quite small and thus not that unusual nces Note: It turned out that the hospital administrator was part of a conspiracy to sell body parts and was purposely putting healthy adults into comes during routine anesthesias, If the intern had taken a statistics course, she could have avoided a great deal of danger) (aj Use the Poisson distribution to approximate the probability that 13 or more of 27,000 healthy patients would slip into comas during routine anesthesias if in fact the true average at the hospital was 4 in 40 000 Hint p = no- 27000 (4/40,000) = 27. (Leave no cell blank. You must enter "O" for the answer to grade correctly. Do not round Intermediate calculations. Round final answer to 5 decimal places.} Probability (b) Given the hospital's record and part a, what conclusion would you draw about the hospital's medical practices regarding anesthesia? The hospants nits al comas is 8 6 15 1 Next > IP-9 IMG B221.PO O