In a region, there is a 0.95 probability chance that a randomly selected person

Question

In a region, there is a 0.95 probability chance that a randomly selected person of the population has brown eyes. Assume 10 people are randomly selected. Complete part(s) through (d) below. Field probability that all of the selected people have brown eyes. The probability that all of the 10 selected people have brown eyes is (Round to three decimal places as needed.) Find the probability that exactly 9 of the selected people have brown eyes. The probability that exactly 9 of the selected people have brown eyes is (Round to three decimal places as needed.) Find the probability that the number of selected people that have brown eyes is 8 or more. The probability that the number of selected people that have brown eyes is 8 or more is (Round to three decimal places as needed.) If 10 people are randomly selected, is theta an unusually high number for those with brown eyes? Yes, because the probability that 8 or more of the selected people have brown eyes is greater than 0.05.

Explanation / Answer

P(brown eye) = 0.95

A) P( all 10 have brown eye) = 0.9510 = 0.599

B) P(exactly 9 have brown eye) = 10C9 x 0.959 x 0.05 = 0.315

C) P(8 or more brown eyes) = P(8 brown eyes) + P(9 brown eyes) + P(10 brown eyes)

= 10C8 x 0.958x0.052 + 0.315 + 0.599

= 0.075+0.315+0.599 = 0.989

D) No, because probability of exactly 8 having brown eyes is only 0.075

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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