4. The following chart compares occupations with sala ries. Salary Range Occupat

Question

4. The following chart compares occupations with sala ries. Salary Range Occupation 40,000 or less 4 20 10 10 10 50 total 1 to 70,000 71 to 100,000 More than 100,000 25 30 25 10 90 110 115 80 105 410 Accountant Teacher Nurse Lawyer Total 35 35 40 30 140 30 40 5 130 Find the probability that a person selected from this group at random is: a) a teacher b) a lawyer earning more than 100,000. c) a nurse or someone earning between 41,000 and 70,000. d) a teacher and a nurse. e) A lawyer or someone earning between 71,000 and 100,000. ) an accountant given that they earn between 41,000 and 70,000. S poir 5 poi 5 p 5 p 5 g) a person earning 40,000 or less given that they are a nurse.

Explanation / Answer

Probabilities are calculated as follows:

a. N(Teacher) / N(Total) = 115/410 = 0.2805

b. N(Lawyer earning > 100,000) / N(Total) = 55/410 = 0.1341

c. N(Nurse U Someone earning between 41k and 70k) / N(Total) = (80+90-25)/410 = 0.3537

d. N(Teacher and Nurse) / N(Total) = 0/410 = 0

e. N(Lawyer U Someone earning between 71k and 100k) / N(Total) = (105+140-30)/410 = 0.5244

f. N(Accountant and earning between 41k and 70k) / N(earning between 41k and 70k) = 25/90 = 0.2778

g. N(Nurse and earning <40k) / N(Nurse) = 10/80 = 0.125

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