SOLUTION: There are reports of 8.1 cases of typhoid fever per week, on average, in United States. Assuming that the report follows a Poisson distribution, find the probability that there wil

Question 1095995: There are reports of 8.1 cases of typhoid fever per week, on average, in United States. Assuming that the report follows a Poisson distribution, find the probability that there will be between 2 and 4 inclusive cases in the next week.
So far, I've tried finding the P(4) and P(2), which I found were 0.054443 and 0.009957, respectively. Then I subtracted, P(4) -P(2) and got 0.044486. Am I doing this right?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Poisson is discrete, so one needs P(2), P(3), and P(4)
e^(-8.1)*8.1^2/2!=0.001
e^(-8.1)*8.1^3/6=0.027
e^(-8.1)*8.1*4/24=0.054
This equals 0.082
RELATED QUESTIONS
A website reports that 70% of their users are from outside the United States and that... (answered by ikleyn)

The 36 investigators in an agency are each required to submit 25 investigation reports a... (answered by ikleyn)

In the United states 154,000,000 tons of garbage are produced annually. On an average,... (answered by josmiceli)

The United States Department of Agriculture reports that 15% Americans are now on food... (answered by rfer)

Suppose that the Hours Students Spend Studying per Week of all University Graduate... (answered by rothauserc)

In big city the average number of rats per quarter block is 6. Assuming that the... (answered by Boreal)

I need help with these two word problems In 2005, there were 66,000 new cases of skin... (answered by stanbon)

#5 In 2011 the U.S. Department of Transportation reported with 95% confidence that the... (answered by Boreal)

Recent crime reports indicate that 3.1 motor vehicle thefts occur each minute in the... (answered by robertb)