SOLUTION: Suppose you conduct a study and find that the probability of having a baby boy is 60%. Now suppose three of your relatives are going to have babies.
a) Build a tree diagram sho
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Question 124888: Suppose you conduct a study and find that the probability of having a baby boy is 60%. Now suppose three of your relatives are going to have babies.
a) Build a tree diagram showing all the conditional probabilities and joint probabilities associated with the sex of the three new babies.
b) What rule of probability are you using to obtain the joint probabilities and why? In order to answer the “why” part of the question you must tell me why the rule of probability you chose to use applies in this case.
c) What is the probability of having one boy and two girls in the three births?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose you conduct a study and find that the probability of having a baby boy is 60%. Now suppose three of your relatives are going to have babies.
a) Build a tree diagram showing all the conditional probabilities and joint probabilities associated with the sex of the three new babies.
I'll leave that to you.
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b) What rule of probability are you using to obtain the joint probabilities and why?
The result of each birth is independent of all previous births.
In order to answer the “why” part of the question you must tell me why the rule of probability you chose to use applies in this case.
Results A and B are independent because P(A|B) = P(A)*P(B)
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c) What is the probability of having one boy and two girls in the three births?
P(one boy and two girls) = 3C1(0.6)(0,4)^2 = 0.288
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Cheers,
Stan H.
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