Qnm222-Assignment # 2(Online Study)
Q 61
a. The probability the selected employee is production worker is 0.57, which is found by 57/100 b. The probability the selected employee is either a production worker or supervisor is 0.97, found by (57/100) + (40/100). c. Yes, they are mutually exclusive because employee cannot be both. d. The probability the selected employee is neither a production worker nor a supervisor is 0.03, found by 1-0.97.
Q 73
a. The crew can be selected if at least half must be men: C(30,4)C(20,4) + C(30,5)C(20,3) + C(30,6)C(20,2) + C(30,7)C(20,1) + C(30,8)C(20,0) = 454 620 240 ways.
Q 75
a. The probability that CEO made more than $1 million is 0.30, found by 6/20. b. The probability that CEO made more than $1 million, or the shareholders lost money is 0.45, found by (6+7-4)/20 c. The probability that CEO made more than $1 million, given the shareholders lost money is 0.5714, found by 4/7. d. The probability of selecting two CEOs and finding they both made more than $1 million is 0.0789, found by (6/20)(5/19).
Q 15
a. 0.2668, found by P(2) = 9!__(.3)2(.7)7. (9 - 2)!2!
b. 0.1715, found by P(4) ) = 9!__(.3)4(.7)5. (9 - 4)!4!
c. 0.0404, found by P(0) ) = 9!__(.3)0(.7)9. (9 -
a. The probability the selected employee is production worker is 0.57, which is found by 57/100 b. The probability the selected employee is either a production worker or supervisor is 0.97, found by (57/100) + (40/100). c. Yes, they are mutually exclusive because employee cannot be both. d. The probability the selected employee is neither a production worker nor a supervisor is 0.03, found by 1-0.97.
Q 73
a. The crew can be selected if at least half must be men: C(30,4)C(20,4) + C(30,5)C(20,3) + C(30,6)C(20,2) + C(30,7)C(20,1) + C(30,8)C(20,0) = 454 620 240 ways.
Q 75
a. The probability that CEO made more than $1 million is 0.30, found by 6/20. b. The probability that CEO made more than $1 million, or the shareholders lost money is 0.45, found by (6+7-4)/20 c. The probability that CEO made more than $1 million, given the shareholders lost money is 0.5714, found by 4/7. d. The probability of selecting two CEOs and finding they both made more than $1 million is 0.0789, found by (6/20)(5/19).
Q 15
a. 0.2668, found by P(2) = 9!__(.3)2(.7)7. (9 - 2)!2!
b. 0.1715, found by P(4) ) = 9!__(.3)4(.7)5. (9 - 4)!4!
c. 0.0404, found by P(0) ) = 9!__(.3)0(.7)9. (9 -