14. A survey was conducted about certain issue, the result is summarized below Y

Question

14. A survey was conducted about certain issue, the result is summarized below YES NO Total Pemale 35 20 55 Male 25 10 35 Total lu,010190 If one person is randomly selected, lind the probability that (a) (2 points) this person was fomale and had a yes respond 90 (b) (2 points) this person was a kmale or had a y- ond. 90 (b) (e) (2 points) this person was a female given it was a yos respond. 55. nd d) (a points) this person was a yes given it was a respond from a female. (e) (3 points) this person was a No given it was a respond from a male. N/A1 30 3

Explanation / Answer

A) P(female and yes) = 35/90 = 7/18

B) P(female or yes) = (35 + 20 + 25)/90 = 80/90 = 8/9

C) P(A | B) = P(A and B) / P(B)

P(female | yes) = P(female and yes) / P(yes) = (35/90)/(60/90) = 35/60 = 7/12

D) P(yes | female) = P(yes and female) / P(female) = (35/90)/(55/90) = 35/55 = 7/11

E) P(No | male) = P(no and Male)/P(male) = (10/90)/(35/90) = 10/35 = 2/7

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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