A law firm has 7 senior partners and 12 junior partners. If 3 people from the fi
ID: 3241770 • Letter: A
Question
A law firm has 7 senior partners and 12 junior partners. If 3 people from the firm are selected to slit on a committee, what is the expected number of senior partners on that committee? You must show the complete probability distribution and all answers should be exact fractions and not decimal numbers. P(no seniors) = _______ P(one senior) = _________ P(two seniors) = ______ P(three seniors) = _________ expected number of seniors ________ After paying exist4 to play, a single fair die is rolled and you are paid back the number of dollars corresponding to the number of dots facing up except if you roll a one in which case you lose an additional exist3. What is the expected value of the game? I would expect to __________ and the game ________ fair. (win or lose) (amount) (is or is not) Two coins are flipped. You win exist2 if either 2 heads or 2 tails turn up: you lose exist3 it a head and a tail turn up. What is the expected value of the game? I would expect to __________ and the game _____ fair. (win or lose) (amount) (is or is not)Explanation / Answer
No. of seniors = 7
No. of juniors = 12
Total = 7 + 12 = 19
P (seniors) = 7 / 19
P ( no seniors ) = 12C3 / 19C3
12C3 = 12! / ( 3! * ( 12 – 3)!)
= (12 *11 * 10)/(3*2*1)
= 220
19C3 = 19! / (3! *(19 – 3)!)
= (19*18*17)/(3*2*1)
= 969
Answer: P (no seniors) = 220 / 969
P ( one senior) = (7C1 * 12C2)/(19C3)
= (7*66 )/969
= 462 / 969
Answer: P ( one senior ) = 462 / 969
P ( two senior) = (7C2 * 12C1)/(19C3)
= (21*12)/969
= 252 / 969
Answer: P ( two senior ) = 252 / 969
P ( three senior) = (7C3 )/(19C3)
= 35/969
= 35 / 969
Answer: P ( three senior ) = 35 / 969
Expected number of seniors = (7/19)*3 = 21/19
Answer: 21/19
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.