a couple intends to have three children. assume (for some reason) that having a boy or...

a couple intends to have three children. assume (for some reason) that having a boy or a girl are not equally likely events, and that p(boy)=.4 and p(girl)=.6 for each delivery also assume the births are independent of each other

(a. what is the sample space of this experiment? Use a tree diagram and label the branches with their corresponding probabilities. Then make a table including all outcomes from the experiment with their associated probabilities.

(b. Find the probability that the couple has exactly two girls.

(C. Find the probability that the couple has at least one boy

Let X represent the discrete random variable corresponding to the number of girls the couple has. What is the probability distribution of the random variable X? Hint: Take your table above, summarize it, and list "sideways"

Expert Solution

orchestra answered 2 years ago

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