8 2. Totals 2. The following chart compares occupations with salaries. Salary Ra

Question

8 2. Totals 2. The following chart compares occupations with salaries. Salary Range Occupation40,000 or less 41 to 70,000 71 to 100,000 More than 100,000total Accountant 25 Teacher Nurse 25 35 15 25 20 95 20 105 20 10 5 60 15 10 70 Lawyer Total 85 310 Find the probability that a person selected from this group at random is: a) a nurse. b) a lawyer earning more than 100,000. c) a teacher or someone earning between 41,000 and 70,000 d) a nurse and a teacher e) A lawyer or someone earning between 71,000 and 100,000. f) an accountant given that they earn more than 100,000 8) a person earning 40,000 or less given that they are a teacher. 5 points 5 points 5 points 5 points 5 points 5 points 5 points

Explanation / Answer

a. Probability that a person selected form this group at random is a nurse =

Number of nurses / Total number of persons = 55/310 = 0.1774

b . Probability that a person selected form this group at random is a lawyer earning more than 100,000

Number of lawyers earning more than 100,000 / Total number of persons = 55/310 = 0.1774

c.  Probability that a person selected form this group at random is a teacher or someone earning between 41,000 and 70,000

P(A) : Probability that a person selected form this group at random is a teacher = Number of teachers / Total number of persons = 60/310

P(B) : Probability that a person selected form this group at random is someone earning between 41,000 and 70,000 = Number of persons earning between 41,000 and 70,000 /number of persons = 70/310

P(A and B) : Probability that a person selected form this group at random is a teacherr and earning between 41,000 and 70,000 = Number of teachers earning 41,000 and 70,000 / number of persons = 20/310

Probability that a person selected form this group at random is a teacher or someone earning between 41,000 and 70,000 = P ( A or B) = P(A) + P(B) - P(A and B) = 60/310 + 70/310 - 20/310 = 110/310 = 0.3548

d.Probability that a person selected form this group at random is a nurse and teacher .

As per the given table there no one who is nurse and a teacher , hence

Probability that a person selected form this group at random is a nurse and teacher = 0

Related Questions

Navigate

• Browse (All)
• Browse 8
• Subjects

---

---

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