to ribe per oot? s to es 4.39 Barbour and Kafetzaki (\"A host-parasite model yie

Question

to ribe per oot? s to es 4.39 Barbour and Kafetzaki ("A host-parasite model yielding heterogeneous parasite loads," Journal Mathematical Biology, 1993) comment that many models of parasitic infections use the Poisson distribution. Suppose the number of parasites on a host has a Poisson distribution with a mean of 10 Find the probability that (a) there are 8 parasites on a host; (b) there are 8 or 9 parasites on a host; (c) there are no parasites on a host. 4.40 The number of power surges at a nuclear plant follows a Poisson distribution with an average of 05 power surges per day. (a) What is the probability that on a given day (1) there will be zero power surges (2) there will be at least one power surge? (3) there will be between 3 and 5 power surges (inclusive)? (b) What is the probability that there will be betwee 3 and 5 power surges (inclusive) in a ten-day period? (c) What is the standard deviation of the numbe power surges in a day?

Explanation / Answer

4.39

P(x; ) = (e-) (x) / x!

P(8; 10) = (e-10) (108) / 8!=0.11

P(9;10) = (e-10) (109) / 9! +P(8; 10) = (e-10) (108) / 8! =0.13+0.11=0.24

P(0; 10) = (e-10) (100) / 0!=0

4.40

I can gladly help you with all your exercises but you should post it in a new question

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.