This Question: 1 pt 9 of 15 (8 complete) This Test: 15 pts possible In a region,

Question

This Question: 1 pt 9 of 15 (8 complete) This Test: 15 pts possible In a region, there is a 0.8 probability chance that a randomly selected person of the population has brown eyes. Assume 12 people are randomly selected. Complete parts (a) through (d) below. a. Find the probability that all of the selected people have brown eyes. The probability that all of the 12 selected people have brown eyes is (Round to three decimal places as needed.) b. Find the probability that exactly 11 of the selected people have brown eyes The probability that exacty 11 of the selected people have brown eyes is Round to three decimal places as needed.) c. Find the probability that the number of selected people that have brown eyes is 10 or more The probability that the number of selected people that have brown eyes is 10 or more is Round to three decimal places as needed.) d. If 12 people are randomly selected, is 10 an unusually high number for those with brown eyes? 0 A. No, because the probability that 10 or more of the selected people have brown eyes is less than 0.05 0 B. Yes, because the probability that 10 or more of the selected people have brown eyes is less than 0.05. ° C. Yes, because the probability that 10 or more of the selected people have brown eyes is greater than 005. 0 D. No, because the probability that 10 or more of the selected people have brown eyes is greater than 0.05.

Explanation / Answer

given n= 12 p=0.8

q = 1-0.8=0.2

we have formulea ncr p^r q^n-r

a) p(x=12) =0.8^12 = 0.068

b)p(x=11) =12c11*0.8^11*0.2 =0.206

c)p(x>=10)= 0.558 from calculator online

d
)p(x=10)= 0.283

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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