# Answer the following question diagram

1
by sweetysiri92
can you give a clear picture?
i changed the pic see now it is very clear
image is not clear
okay!

2015-03-24T16:11:34+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Informations from diagram are:
P(U) = 0.1
P(V) = 0.6
P(W) = 0.3

P(C|U) = 0.4
P(C'|U) = 0.6
P(C|V) = 0.2
P(C'|V) = 0.8
P(C|W) = 0.7
P(C'|W) = 0.3

P(C|U)= P(U ∩ C)/ P(U)
⇒ 0.4 = P(U ∩ C) / 0.1
⇒ P(U ∩ C) = 0.4 × 0.1 = 0.04
Similarly
P(U ∩ C') = 0.6×0.1 = 0.06
P(V ∩ C) = 0.6× 0.2 = 0.12
P(V ∩ C') = 0.6 × 0.8 = 0.48
P(W ∩ C) = 0.3×0.7 = 0.21
P(W ∩ C') = 0.3×0.3 = 0.09

P(C) = P(U ∩ C) + P(V ∩ C) + P(W ∩ C) = 0.04 + 0.12 + 0.21 = 0.37
P(C') = P(U ∩ C') + P(V ∩ C') + P(W ∩ C') = 0.06+0.48+0.09 = 0.63

17. P(U|C) = P(U ∩ C) / P(C) = 0.04 / 0.37 = 0.108
18. P(V|C') = P(V ∩ C') / P(C') = 0.48 / 0.63 = 0.762
19. P(W|C) = P(W ∩ C) / P(C) = 0.21 / 0.37 = 0.567
20. P(U|C') = P(U ∩ C') / P(C') = 0.06 / 0.63 = 0.095
21. P(V|C) = P(V ∩ C) / P(C) = 0.12 / 0.37 = 0.324
22. P(W|C') = P(W ∩ C') / P(C') = 0.09 / 0.63 = 0.143
Its very clear to understand
:)
Thanks!
u r welcome