can you please help with 3.3.1-.3.3.5 Google Docs Suffolk County co... D Game De

Question

can you please help with 3.3.1-.3.3.5

Google Docs Suffolk County co... D Game Details Project Free Tv Stony Brook Course... 3.3.1 In a study of the relationship between health risk ful or quite stressful:"not stressed" means that the pers and income, a large group of people living in Massachu- reported that most days are stressful, not very stres a bit setts were asked a series of questions Some of not at all stressful. the results are shown in the following table. INCOME INCOME Low MEDIUM HIGH TOTAL LOW MEDIUM HIGH TOTAL Stressed 526 274 216 1,016 634 332 247 1.213 Not stressed 1,954 1,680 1 899 5,533 Don't smoke 1. 1.622 1,868 5.336 Total 2,480 1,954 2,115 6,549 2,480 1954 2,115 6,549 (a) What is the probability that someone in this study (a) What is the probability that someone in this study is smokes? (b) What is the that someone in this (b) Given that someone in this study is from the high study smokes, given that the person has income? income group, what is the probability that the person (c) is being a smoker independent of having a high (c) Compare your answers to parts (a) and Is being income? Why or why not? (b). why independent of having high income? Why or not? 3.3.2 Consider the data table reported in Exercise33.1. (a) What is the probability that someone in this study is 3.34 Consider the data table reported in Exercise 3.3.3. from the low income group and smokes? (a) What is the probability that someone in this study has low income? (b) What is the probability that someone in this study is not from the low income group? (b) What is the probability that someone in this study (c) What is the probability that someone in this study is from the medium income either is stressed or has low income (or both)? (c) What is the probability that someone in this study either is stressed and has low income? (d) What is the probability that someone in this study is from the low income group or from the medium 333 The following 3.3.5 Suppose that in a certain population of married cou data table ples 30% of the husbands smoke, 20% of the wives smoke, renorted in Exercise 33.1. is taken from the study and in 8% of the couples both the husband and the wife Here "stressed" that smoke, ls the smoking status (smoker or nonsmoker of the

Explanation / Answer

3.3.1

a.
p(smokes) = n(smokes)/n(total) = 1213/6549 = 0.185219

b.
p(who smokes given that person has high income)= p( smoke and high income) / p( high income) = (247/6549) / (2115/6549) = 0.1167848

c.
We call both are independent when it satisfy below condition,
P( being a smoke and high income) = P(being a smoke) * P(high income)

=> 247/6549 = (1213/6549) * (2115/6549)
=> 0.037715 = 0.059816
which are n't equal and we call both are dependent

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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