Need answers. please do not post answe in an image format. show any work. thank

Question

Need answers. please do not post answe in an image format. show any work. thank you.

1. survey results on the Age and Marital status of women are given below. Use the data to answer the questions. Show any work 65 a Married 3,046 48,116 7,767 Never Married 9289 9252 Widowed 2,425 12,614 68,708 18,262 99,585 A. What is the probability of a randomly selected woman being married? B. What s the probability of a randomly selected woman being Married and 65 C What is the probability of a randomly selected woman being Married a woman is to 24 years of age, what is the probability that she is Never E. Afe age and marital status independent events? Show your proof.

Explanation / Answer

Part a

Total number of women = 99585

Total number of married women = 58929

Required probability = total number of married women / total number of women

Required probability = 58929 / 99585 = 0.591746

Required probability = 0.591746

Part b

Total number of women = 99585

Total number of married women who are 65 and over = 7767

Required probability = 7767/99585 = 0.077994

Part c

P(Married or 25 to 64) = P(Married) + P(age 25 to 64) – P(Married and age 25 to 64)

P(Married) = 58929 / 99585 = 0.591746

P(age 25 to 64) = 68709/99585 = 0.689953

P(Married and age 25 to 64) = 48116 / 99585 = 0.483165

P(Married or 25 to 64) = 0.591746 + 0.689953 - 0.483165 = 0.798534

Required probability = 0.798534

Part d

Total number of women age 18 to 24 = 12614

Total number of never married women age 18 to 24 = 9289

Required probability = 9289 / 12614 = 0.736404

Part e

Age and Marital status are not independent event.

For independent event, P(A and B) = P(A)*P(B)

P(Married and 18 to 24) = P(Married)*P(18 to 24)

P(Married and 18 to 24) = 3046/99585 = 0.030587

P(Married) = 58929/99585 = 0.591746

P(18 to 24) = 12614/99585 = 0.126666

P(Married)*P(18 to 24) = 0.591746*0.126666 = 0.074954

P(Married and 18 to 24) P(Married)*P(18 to 24)

So, age and marital status are not independent event.

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

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