FOR THE FOLLOWING TABLE ANSWER THESE PROBABILITY QUESTIONS

MATH(M) ENGLISH(E) HISTORY(H) BIOLOGY(B) TOTALS

FRESHMAN(F) 15 22 13 18 68

SOPHOMORE(S) 14 20 29 16 79

JUNIOR(J) 18 15 23 22 78

SENIOR(SE) 26 10 8 24 68

TOTALS 73 67 73 80 293

1. FIND P(MUF) =

2. FIND (B) =

3. FIND (E/J) =

4. FIND (SE/H) =

5. FIND (ES) =

6. FIND P(AUB), IF P(A)=.4 AND P(B)=.35 AND P(A) AND P(B) ARE INDEPENDENT.

7. IF YOU NEED TO PICK 5 NUMBERS OUT OF 30 TO WIN A LOTTERY AND ORDER DOES NOT MATTER WHAT IS YOUR CHANCE OF WINNING ON THE FIRST TRY.

8. WHAT IF ORDER OF THE NUMBERS YOU CHOOSE MATTERS? WHAT IS THE PROBABILITY THEN? =

9. IF P(A) =.5 AND P(B)=.7 AND THEY ARE INDEPENDENT WHAT IS P(AB)

10. WHAT IS P(AB) IF THEY ARE DISJOINT.

11. FIND THE EXPECTED VALUE OF A GAME IN WHICH YOU HAVE A (1/38) CHANCE OF WINNING AND A (37/38) CHANCE OF LOSING. IF YOU WIN YOU RECEIVE $500 PLUS THE $15 IT COST TO PLAY THE GAME. IF YOU LOSE YOU LOSE THE $15.00.