4.5 Problems 4.15. Use the values in the cross-tabulation table to solve the equ

Question

4.5 Problems 4.15. Use the values in the cross-tabulation table to solve the equa tions given What is the probability that the household does not have a ceiling e. fan and does have an outdoor grill? C D EF d. What is the probability that the household does have a ceiling fan and does not have an outdoor grill? 4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In ad- dition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected 4.16. Use the values in the joint probability table to solve the equa DE A 12 13 08 B 1809 04 C 06 24 06 a. What is the probability that the adult owns stock and has some b. What is the probability that the adult owns no stock and has some c. What is the probability that the adult owns stock and has no d. What is the probability that the adult neither owns stock nor has college education? college education? college education? tions given. some college education? 4.20. According to a report released by the National Center for Health Statistics, 41% of U.S. households has only cell phones (no land line. According to the FCC, nearly70% of the US.households have high- speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A US household is randomly selected. a. What is the probability that the household has only cell phones .17. a. A batch of 50 parts contains six defects. If two parts are and has high-speed Internet? bility that both parts are defective? rawn randomly one at a time without replacement, what is the prob- b. What is the probability that the household has only cell phones or has high-speed Internet? b. If this experiment is repeated, with replacement, what is the e. What is the probability that the household has only cel probability that both parts are defective? and does not have high-speed Internet? International Housewares Association (IHA) reported that 73% d. What is the probability that the household does not have only cell all U.S. households have ceiling fans. In addition, 77% of all US seholds have an ds have both a ceiling fan and an outdoor grill. A U.S. household andomly selected. phones and does not have high-speed Internet? e. What is the probability that the household does not have only phones and has high-speed Internet? outdoor grill. Suppose 60% of all US-house ell 4.21. A study by Becker Associates, a San Diego travel consultant, What is the probability public said that their flight selections are influenced by perceptions of airline safety. Thirty-nine percent of utdoor grill? hat is the probability that the household has neither a ceiling the traveling public wants to know the age of the aircraft. S uppose 87% of the traveling public who say that their flight selections are n nor an outdoor grill?

Explanation / Answer

Ans:

4.15)

To get joint probability distribution,divide each entry by 57.

a)P(A and E)=0.2807

b)P(D and B)=0.0526

c)P(D and E)=0

d)P(A and B)=0

4.16)

a)P(E and B)=0.09

b)P(C and F)=0.06

c)P(E and D)=0

4.17)Probability of being a part defective=6/50

a)P(both defective)=(6/50)*(5/49)=0.0122

b)P(both defective)=(6/50)*(6/50)=0.0144

C D E F Total A 5 11 16 8 40 B 2 3 5 7 17 Total 7 14 21 15 57 Joint probability distribution C D E F Total A 0.0877 0.1930 0.2807 0.1404 0.7018 B 0.0351 0.0526 0.0877 0.1228 0.2982 Total 0.1228 0.2456 0.3684 0.2632 1.0000

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

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