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2 balls are chosen randomly from an urn containing 8 white, 4 black, 2 orange ball. Suppose you win 2 dollars for each black ball and lose 1 dollar for each white ball selected. Let X be the net winning , Find
a) S_x
my answer is
for a)
(2,1,2)
 one year ago
 one year ago
2 balls are chosen randomly from an urn containing 8 white, 4 black, 2 orange ball. Suppose you win 2 dollars for each black ball and lose 1 dollar for each white ball selected. Let X be the net winning , Find a) S_x my answer is for a) (2,1,2)
 one year ago
 one year ago

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LibnizBest ResponseYou've already chosen the best response.0
b) asked for pmf P_x (8/14)^2 x=2 (4/14)*(8/14) x=1 (4/14)^2 x=2
 one year ago

MathLegendBest ResponseYou've already chosen the best response.0
What type of math is this? Algebra 1?
 one year ago

MathLegendBest ResponseYou've already chosen the best response.0
Honestly, I have no clue.
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
sampling with or without replacement?
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
didn't say anything about replacement so I think without
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
if it is without...then your pmf is not correct
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
what is it mean by "replacement"?
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
if it is replacement then you pick a ball...look at it ..put it back then randomly sample again with all 14 balls
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
I think ,from the wording; we are pulling two balls out at the same time
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
that is what I am thinking
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
so you need to redo your pmf
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
if you get black balls then you get $2 each correct
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
so one possibility is that you win $4
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
BB=$4 BO=$2 OB=$2 BW=$1 WB=$1 ...
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
so X can take the values 4,2,1,0,1,2
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
oh, I see, I omitted orange which I shouldn't have
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
so how would I write PMF?
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
what i s the probability of 2 blacks? ie $4
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
ok what about winning $2
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
(4/14)(2/13) or (2/14)(4/13) ?
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
there are 8 blacks...i see no 8's in your solution
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
4 black...so prob of BB is \[\frac{4}{14}\cdot\frac{3}{13}\]
 one year ago

ZarkonBest ResponseYou've already chosen the best response.2
so \[P(X=4)=\frac{4}{14}\cdot\frac{3}{13}\]
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
right , so for $2 (4/14)(2/13) or (2/14)(4/13) (4/14)(2/13)+(2/14)(4/13)=
 one year ago

LibnizBest ResponseYou've already chosen the best response.0
I understand now; I really appreciate your help
 one year ago
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