32 32 33 33 34 35 36 37 37 37 38380414 eight classes. Um and Leaf diagram the fi

Question

32 32 33 33 34 35 36 37 37 37 38380414 eight classes. Um and Leaf diagram the five number summary aw the box and whisker diagram showing possible Ora the raw the box and whisker diagram showing 5 points. 2 5 points 2.5 points requency Diagramoouen Classes outiers 5 points Frequency Relative Frequency 6 Totals 2. The following chart compares occupations with salaries Occupation Accountant Teacher Nurse Lawyer Total 40,000 or less 20 20 10 5 Salary Range 41 to 70,000 25 15 15 10 More than 20 100000 otal 71 to 100,000 35 15 20 20 90 50 80 65 5 points Find the probability that a person selected from this group at random is:. 5 points 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. g) a person earning 40,000 or less given that they are a teacher. 5points 5 points 5 point 5 point

Explanation / Answer

Ans:

For joint probabilty distribution,divide each entry of table by 290:

a)P(nurse)=50/290=0.1724

b)P(>100000)=50/290=0.1724

c)P(teacher or 41000-70000)=P(teacher)+P(41000-70000)-P(teacher and 41000-70000)

=(55/290)+(65/290)-(15/290)

=0.1897+0.2241-0.0517

=0.3621

d)P(nurse and teacher)=0

e)P(lawer or 71000-100000)=P(lawyer)+P(71000-100000)-P(lawyer and 71000-100000)

=(85/90)+(90/290)-(20/290)

=0.2931+0.3103-0.0690

=0.5344

f)P(accountant/>100000)=P(accountant and >100000)/P(>100000)

=(20/290)/(80/290)=20/80=1/4=0.25

g)P(40000 or less/teacher)=P(40000 or less and teacher)/P(teacher)

=(20/290)/(55/290)

=20/55

=0.3636

=0.3636

Occupation <40000 41 to 71000 71-100000 >100000 Total Accountant 20 25 35 20 100 Teacher 20 15 15 5 55 Nurse 10 15 20 5 50 Lawyer 5 10 20 50 85 Total 55 65 90 80 290 Joint probability distribution Occupation <40000 41 to 71000 71-100000 >100000 Margnal Prob. Accountant 0.0690 0.0862 0.1207 0.0690 0.3448 Teacher 0.0690 0.0517 0.0517 0.0172 0.1897 Nurse 0.0345 0.0517 0.0690 0.0172 0.1724 Lawyer 0.0172 0.0345 0.0690 0.1724 0.2931 Marginal Prob. 0.1897 0.2241 0.3103 0.2759 1

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