Pulsified333
  • Pulsified333
nvolving sets A and B. Suppose for this problem that Pr[A|B]=1/2, Pr[A]=1/5, and Pr[B′]=7/10. (1) What is Pr[B|A]? (2) What is Pr[B|A′]?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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misty1212
  • misty1212
hello again!
Pulsified333
  • Pulsified333
hi :)
misty1212
  • misty1212
you want \[P(A\cap B)\]right, so you can compute the ratio you need for both

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More answers

Pulsified333
  • Pulsified333
|dw:1442891498761:dw|
misty1212
  • misty1212
\[\frac{P(A\cap B)}{P(B)}=P(A|B)\] you have two out of the three numbers you need to find \(P(A\cap B)\)
Pulsified333
  • Pulsified333
we have A and P[A|B]
misty1212
  • misty1212
you got \(P(B)\) and \(P(A|B)\) so you can solve for \(P(A\cap B)\)
Pulsified333
  • Pulsified333
We have the complement of B
Pulsified333
  • Pulsified333
but B = 3/10 Right?
misty1212
  • misty1212
yeah \[P(B)=\frac{3}{10}\]
misty1212
  • misty1212
'cause you be sippin syrup that's why!
Pulsified333
  • Pulsified333
so its (3/10)*(1/2)
misty1212
  • misty1212
hmm no
misty1212
  • misty1212
oh yes!
Pulsified333
  • Pulsified333
which is 4/5
anonymous
  • anonymous
now that is wrong
misty1212
  • misty1212
??
anonymous
  • anonymous
\[\frac{1}{2}\times \frac{3}{10}=\frac{3}{20}\]
Pulsified333
  • Pulsified333
my bad, im tired
misty1212
  • misty1212
oh the multiplication is wrong, yeah
Pulsified333
  • Pulsified333
so Pr(B|A)= 3/4
Pulsified333
  • Pulsified333
@satellite73 how would you do (2)
Pulsified333
  • Pulsified333
well i know A' is 4/5
anonymous
  • anonymous
\[P(B|A')=\frac{P(A'\cap B)}{P(A')}\]
Pulsified333
  • Pulsified333
but how do you Find P(A′∩B)
anonymous
  • anonymous
|dw:1442892611104:dw|
anonymous
  • anonymous
\[P(B)=P(A\cap B)\]
Pulsified333
  • Pulsified333
B= 3/10 and P(A∩B)=3/20
Pulsified333
  • Pulsified333
now what?
Pulsified333
  • Pulsified333
@satellite73 is the answer (3/10)/(4/5)= 3/8
anonymous
  • anonymous
dang i made a typo sorry, i meant to write \[P(B)-P(A\cap B)\]
Pulsified333
  • Pulsified333
which equals 6/20
anonymous
  • anonymous
that is your numerator \[P(A'\cap B)\]
Pulsified333
  • Pulsified333
okay which is (3/10)/(4/5)?
anonymous
  • anonymous
looks good to me
Pulsified333
  • Pulsified333
but the answer 3/8 is wrong
anonymous
  • anonymous
it is hard for me to keep scrolling up \[P(A')=\frac{4}{5}\] right?
Pulsified333
  • Pulsified333
yes
anonymous
  • anonymous
what is \(P(A\cap B)\)?
Pulsified333
  • Pulsified333
3/20
anonymous
  • anonymous
and what is \(P(B)\)
Pulsified333
  • Pulsified333
3/10
anonymous
  • anonymous
so \[\frac{3}{10}-\frac{3}{20}=\frac{3}{20}\]
Pulsified333
  • Pulsified333
i messed up
Pulsified333
  • Pulsified333
so its (3/20)/(4/5)
anonymous
  • anonymous
answer would be \[\frac{\frac{3}{20}}{\frac{4}{5}}\]
Pulsified333
  • Pulsified333
3/16
Pulsified333
  • Pulsified333
its right :D
anonymous
  • anonymous
yay
Pulsified333
  • Pulsified333
I wish i could give two medals but i Cant
anonymous
  • anonymous
thanks i got plenty bought my bike with my first 1000
Pulsified333
  • Pulsified333
nice
xapproachesinfinity
  • xapproachesinfinity
hmm that was the answer for one?
xapproachesinfinity
  • xapproachesinfinity
P(B/A)
anonymous
  • anonymous
lol no one is ancient history
anonymous
  • anonymous
that was \[P(B|A')\]
xapproachesinfinity
  • xapproachesinfinity
hehehe ah ok
xapproachesinfinity
  • xapproachesinfinity
Good computation :)

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