You select a family with three children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is shown below. Find the probability of selecting a family with at least one male child.
MMM, MMF, MFM, MFF, {MMM, MMF, MFM, MFF, FMM, FMF, FFM , FFF
The probability of having a least one male child is
You select a family with three children. If M represents a male child and F a...
You select a family of three children. if M represents a male child and F a female child. Find the probability of selecting a family with 1) At least one male child 2) At least two female children
A simple model for human offspring is that each child is equally likely to be male or female. With this model, a three-child family can be thought of as three random determinations of sex, in order. a. What are the 8 possible outcomes? What is the probability of each? b. What outcomes make up the event “the oldest child is a daughter”? What is the event’s probability? c. What outcomes make up the event “the family has one daughter and...
A family has three children. If the genders of these children are listed in the order they are born, there are eight possible outcomes: BBB, BBG, BGB, BGG, GBB, GBG, GGB, and GGG. Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of X.Part 1 out of 2Find the number of possible values for the random variable X.There are _______ possible values for the random variable X.
Consider a family with eight children. Assuming that the sex each child is determined independently of the others and that each child is equally likely to be female or male, a. What is the probability that exactly four children are female? Hint: Use the binomial distribution. (10 points) b. What is the probability that at most seven children are female? Hint: What is the complement of this event? (10 points)c. Find the conditional probability that the first two children born are female...
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?
A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having at least one boy is?
Suppose a family contains two children of different ages, and we are interested in of these children. Let F denote that a child is female and M that the child is male and let a pair such as FM denote that the older child is female and the younger is male. There are four points in the set S of possible observations: the gender S (FF, FM, MF, MM) Let A denote the subset of possibilities containing no males: B,...
A couple is planning on having three children. You may assume that one child is born at a time (no twins or triplets), that each child was born two years apart from one another, and that it is equally likely for the couple to have a boy or a girl. Construct a tree diagram and show the sample space. a) What is the probability that the oldest child is a girl and the two younger children are boys? b) What...
10. You have a data set that contains information about individuals gender, the number of children they have, their family income, and whether they are in the labor force You estimate the following linear probability model: Plaborforcel po+B1 children +B2 female +B3 (children x semale)+u a.) In terms of the model's parameters, what is the marginal effect of having an additional child on a woman's probability of being in the labor force? What is the marginal effect of having an...
Information Flag question Information text You are consulting with a family where sometimes a mutation that leads to deafness (D) and a mutation that predisposes individuals to early heart failure (H) are linked. Normally these two traits sort independently but, in some individuals, a reciprocal translocation has moved them to the same chromosome. The chromosome maps for an individual with two normal chromosome pairs (Normal Arrangement), and a translocation heterozygote (Translocation Arrangement) are shown below. Deafness and early heart failure are...