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 2 years 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)
 2 years 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)

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

MathLegend
 2 years ago
Best ResponseYou've already chosen the best response.0What type of math is this? Algebra 1?

MathLegend
 2 years ago
Best ResponseYou've already chosen the best response.0Honestly, I have no clue.

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2sampling with or without replacement?

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0didn't say anything about replacement so I think without

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2if it is without...then your pmf is not correct

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0what is it mean by "replacement"?

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

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0I think ,from the wording; we are pulling two balls out at the same time

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2that is what I am thinking

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2so you need to redo your pmf

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2if you get black balls then you get $2 each correct

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

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2BB=$4 BO=$2 OB=$2 BW=$1 WB=$1 ...

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2so X can take the values 4,2,1,0,1,2

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0oh, I see, I omitted orange which I shouldn't have

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0so how would I write PMF?

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2what i s the probability of 2 blacks? ie $4

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2ok what about winning $2

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0(4/14)(2/13) or (2/14)(4/13) ?

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.2there are 8 blacks...i see no 8's in your solution

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.24 black...so prob of BB is \[\frac{4}{14}\cdot\frac{3}{13}\]

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

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

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0I understand now; I really appreciate your help
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