SECTION 8.4 PROBLEM SET: CONDITIONAL PROBABILITY
Questions 1  4: Do these problems using the conditional probability formula: (P(A  B)=frac{P(A cap B)}{P(B)}).




Questions 5  8 refer to the following: The table shows the distribution of Democratic and Republican U.S. Senators by gender in the 114^{th} Congress as of January 2015.
MALE(M)  FEMALE(F)  TOTAL  
DEMOCRATS (D)  30  14  44 
REPUBLICANS(R)  48  6  54 
OTHER (T)  2  0  2 
TOTALS  80  20  100 
Use this table to determine the following probabilities:




Do the following conditional probability problems.






At a college, 72% of courses have final exams and 46% of courses require research papers. 32% of courses have both a research paper and a final exam. Let (F) be the event that a course has a final exam and (R) be the event that a course requires a research paper.


SECTION 8.4 PROBLEM SET: CONDITIONAL PROBABILITY
Consider a family of three children. Find the following probabilities.




Questions 21  26 refer to the following:
The table shows highest attained educational status for a sample of US residents age 25 or over:
(D) Did not Complete High School  (H) High School Graduate  (C) Some College  (A) Associate Degree  (B) Bachelor Degree  (G) Graduate Degree  TOTAL  
2544 (R)  95  228  143  81  188  61  796 
4564 (S)  83  256  136  80  150  67  772 
65+ (T)  96  191  84  36  80  41  528 
Total  274  675  363  197  418  169  2096 
Use this table to determine the following probabilities:





