Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
3. Increased research and discussion have focused on the number of illnesses involving the organism Escherichia coli which causes a breakdown of red blood cells and intestinal hemorrhages in its victims. Sporadic outbreaks of E. coli have occurred in Colorado at a rate of 2.5 per 100,000 for a period of 2 years. Let us suppose that this rate has not changed. a. Can x, the number of cases of E. coli in a year, be treated as a binomial random variable? Why or why not? b. Can x, the number of cases of E. coli in a year, be treated as a Poisson random variable? Why or why not? c. Can the probability of x, the number of cases of E. coli in a year, be calculated using the Poisson approximation to the binomial? Why or why not? d. Calculate P(x-5) using all of the above methods, if applicable.

3. Increased research and discussion have focused on the number of illnesses involving the organism Escherichia coli which causes a breakdown of red blood cells and intestinal hemorrhages in its victims. Sporadic outbreaks of E. coli have occurred in Colorado at a rate of 2.5 per 100,000 for a period of 2 years. Let us suppose that this rate has not changed. a. Can x, the number of cases of E. coli in a year, be treated as a binomial random variable? Why or why not? b. Can x, the number of cases of E. coli in a year, be treated as a Poisson random variable? Why or why not? c. Can the probability of x, the number of cases of E. coli in a year, be calculated using the Poisson approximation to the binomial? Why or why not? d. Calculate P(x-5) using all of the above methods, if applicable.

icon
Related questions
Question
3. Increased research and discussion have focused on the number of illnesses involving the organism Escherichia coli which causes a breakdown of red blood cells and intestinal hemorrhages in its victims. Sporadic outbreaks of E. coli have occurred in Colorado at a rate of 2.5 per 100,000 for a period of 2 years. Let us suppose that this rate has not changed. a. Can x, the number of cases of E. coli in a year, be treated as a binomial random variable? Why or why not? b. Can x, the number of cases of E. coli in a year, be treated as a Poisson random variable? Why or why not? c. Can the probability of x, the number of cases of E. coli in a year, be calculated using the Poisson approximation to the binomial? Why or why not? d. Calculate P(x-5) using all of the above methods, if applicable.
Transcribed Image Text:3. Increased research and discussion have focused on the number of illnesses involving the organism Escherichia coli which causes a breakdown of red blood cells and intestinal hemorrhages in its victims. Sporadic outbreaks of E. coli have occurred in Colorado at a rate of 2.5 per 100,000 for a period of 2 years. Let us suppose that this rate has not changed. a. Can x, the number of cases of E. coli in a year, be treated as a binomial random variable? Why or why not? b. Can x, the number of cases of E. coli in a year, be treated as a Poisson random variable? Why or why not? c. Can the probability of x, the number of cases of E. coli in a year, be calculated using the Poisson approximation to the binomial? Why or why not? d. Calculate P(x-5) using all of the above methods, if applicable.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS