Four families. One of them has 0 kid; two of them each has one; and the...
Four families. One of them has 0 kid; two of them each has one; and the remaining has two kids. The gender is not known. Suppose one family is randomly chosen.Let M denote the number of the boy(s), and F be the number of the girl ( s) (M,F, or both, can be 0.)
a) Write out the joint probability distribution of M and F. SHOW THE TABLE
b) P(M > 0 ) = ?
(c) Write out the marginal distribution of F.(
d) P(F=1 | M=1) = ?
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Four families. One of them has 0 kid; two of them each has one;
and the...
Consider the population of all families with two children. Represent the gender of each child using G...
Consider the population of all families with two children. Represent the gender of each child using G for girl and B. The gender information is sequential with the first letter indicating the gender of the older sibling. Thus, a family having a girl first and then a boy is denoted GB. If we assume that a child is equally likely to be male or female, what is the probability that the selected family has two girls given that the older sibling is a girl?
3. (a) Consider the population of all families with two teenagers and a maid. Let G...
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Discrete Math:
A couple is planning to have a family. Let us assume that the probability of having a girl is 0.48 and a boy is 0.52, and that the gender of this couple's children are pairwise independent. They want to have at least one girl and at least one boy. At the same time, they know that raising too many kids is difficult. So here's what they plan to do: they'll keep trying to have children until they have...
Please answer the question clearly 10. If two cards are randomly drawn (without replacement) from an...
Please answer the question clearly
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1. A seaside village had a stable population of 1,000 families for several decades until a...
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9-20% of the population has the genetic trait A. Of these, 70% has genetic trait B....
9-20% of the population has the genetic trait A. Of these, 70% has genetic trait B. Of the population that doesn't have trait A, 40% have trait B a) A person from the population is picked at random from the) population What is the probability that this person has trait B? b) What is the probably that, knowing the person picked has trait A b) that this person also has trait B? e) What is the probably that, knowing the...
3. (a) Consider the population of all families with two teenagers and a maid. Let G denote a girl, B denote a boy and M denote a maid. Assume that a teenager is equally likely to be a girl or a boy. We are interested in the timing sequence of the teenagers and the maid (in the same family) going to bed on a Saturday night. Let BMB represents one teenage boy goes to bed first, the maid goes to...
Discrete Math:
A couple is planning to have a family. Let us assume that the probability of having a girl is 0.48 and a boy is 0.52, and that the gender of this couple's children are pairwise independent. They want to have at least one girl and at least one boy. At the same time, they know that raising too many kids is difficult. So here's what they plan to do: they'll keep trying to have children until they have...
Please answer the question clearly
10. If two cards are randomly drawn (without replacement) from an ordinary deck of 52 playing cards, let Z be the number of Kings obtained from the first draw and let W be the total number of Kings obtained from both draws. The table below provides values for f(z, w), the joint distribution (PMF) of Z and W. 188 221 16 221 16 221 221 (a) Find the marginal distribution (PMF) of Z (b) Find...
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