Some previous studies have shown a relationship between emergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) follows a Poisson distribution with mean = 2.0 admissions per day. Suppose each admitted person to the emergency ward stays there for exactly 1 day and is then discharged. 4.67 The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Please answer all the quaestion please?
Some previous studies have shown a relationship between
emergency-room admissions per day and level of pollution
on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day
ordinarily (unless there is unusually high pollution) follows
a Poisson distribution with mean = 2.0 admissions per day.
Suppose each admitted person to the emergency ward
stays there for exactly 1 day and is then discharged.
4.67 The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for
at least 95% of normal-pollution days it will not need to turn
anyone away. What is the smallest number of beds it should
have to satisfy this criterion
Hepatic Disease
Suppose we observe 84 alcoholics with cirrhosis of the
liver, of whom 29 have hepatomas—that is, liver-cell carcinoma. Suppose we know, based on a large sample, that the
risk of hepatoma among alcoholics without cirrhosis of the
liver is 24%.
5.50 What is the
alcoholics with cirrhosis of the liver who have hepatomas if
the true rate of hepatoma among alcoholics (with or without
cirrhosis of the liver) is .24?
5.51 What is the probability of observing at least 29 hepatomas among the 84 alcoholics with cirrhosis of the liver
under the assumptions in Problem 5.50?
5.52 What is the smallest number of hepatomas that would
have to be observed among the alcoholics with cirrhosis of
the liver for the hepatoma experience in this group to differ
from the hepatoma experience among alcoholics without
cirrhosis of the liver? (Hint: Use a 5% probability of getting
a result at least as extreme to denote differences between
the hepatoma experiences of the two groups.)
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