APPLYING THE CONCEPTS Assume that the requirements for the Poisson probability d

Question

APPLYING THE CONCEPTS Assume that the requirements for the Poisson probability distribution are met for Exercises 23-31. Also, when asked to approximate a probability, use the Poisson approximation for the binomial distribution. Trees per Acre. The mean number of trees per acre (after thinning) in the Lassen National Forest in California was = 100 trees. 12 Let X refer to the number of trees (after thinning in the Lassen National Forest in California). Find the following probabilities. a. Probability that X = 100 b, P(X = 95) l a c. P(X = 101)

Explanation / Answer

P(x; ) = (e-) (x) / x!, =100 and e is constant at 2.71828

a)

(X=100)=2.71828^-100*100^100/100!=0.03986

b)

(X=95)=2.71828^-100*100^95/95!=0.03601

c)

(X=101)=2.71828^-100*100^101/101!=0.039466

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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