Find the indicated probabilities using the geometric distribution, the Poisson d

Question

Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. A newspaper finds that the mean number of typographical errors per page is six. Find the probability that (a) exactly five typographical errors are found on a page, (b) at most five typographical errors are found on a page, and (c) more than five typographical errors are found on a page. P(exactly five typographical errors are found on a page) = __ (Round to four decimal places as needed.) P(at most five typographical errors are found on a page) = __ (Round to four decimal places as needed.) P(more than five typographical errors are found on a page) = __ (Round to four decimal places as needed.) Which of the events are unusual? Select all that apply. The event in part (a) is unusual.

Explanation / Answer

= 6

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

(a) P(5) = (e^-6)(6^5) / 5! = 0.1606

(b) P(x 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= (e^-6)(6^0) / 0! + (e^-6)(6^1) / 1! + (e^-6)(6^2) / 2! + (e^-6)(6^3) / 3! + (e^-6)(6^4) / 4! + (e^-6)(6^5) / 5!

= 0.0025 + 0.0149 + 0.0446 + 0.0892 + 0.1339 + 0.1606 = 0.4457

(c) P(x > 5) = 1 - P(x 5) = 1 - 0.4457 = 0.5543

None of the events are unusual.

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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