How Do You Calculate Joint Probabilities in a Tire Purchase Scenario?

[asraar]

URGENT : Probability question help me please !

For customers purchasing a full set of tries at a particular tries store, the events :
A = tries purchsed were made in United States
B = purchaser has tries balanced immediately
C = pruchas 1 er requests font-end alignment

along with A', B' and C'
Assume the following unconditional and conditional prpbabilities:
p(A)=0.75
p(B|A) 0.9
p(B|A')=0.8
p(C|AB)=0.8
P(C|AB')=0.6
P(C|A' B)=0.7
P(C| A '  B ' ) = 0.3





a ) constract a tree diagram consisting of first, second and third -generation branches and place an event label and apporiate probability next to each branch.


b) compute P ( A  B  C )

c ) compute P ( B  C )

d ) P (C)


e) compute P (A |B  C ).the probability of a purchasing of US. tries given that both balancing and an aligment were requested




Thank you

 

[asraar]

 >> is Intersection symbol

 

[EnumaElish]

Have you solved any of these? Or thought about? How far did you get?

 

[ovoleg]

try it first and the rest of us will help you.

We aren't here to solve problems flat out for you...People here want to help, not waste their and your time.

 

[asraar]

yes actually I tried to solve it..


but I did not know how to solve a , c and d

my solution for b ) is =

P (C / A intersiction B).P(A intersection B)
= P ( C/ A intersiction B ) . P (B / A ) . P (A)
= 0.8 * 0.9 * 0.75 = 0.54




and e )

= p (A intersection B intersection C ) / p ( B intersection C )
= 0.54 / 0.68
= 0.7941

 

[asraar]

Please I need the solution tonight coz I have Quiz in it tommorw morning

 

[asraar]

??

 

[HallsofIvy]

Please I need the solution tonight coz I have Quiz in it tommorw morning

So what you are telling us is that you really don't want to learn anything, you just want to trick your teacher into thinking you know it?

Just out of curiosity, is it at all possible that by "tries" you mean "tires"?

 

[asraar]

so you dunn want to to help me ?

 

[HallsofIvy]

People have been TRYING to help you! You show no sign of wanting to do YOUR part!