Question

In: Statistics and Probability

A married couple has 3 children. What is the probability thatthey have 2 boys and...

A married couple has 3 children. What is the probability that they have 2 boys and one girl? Note: you can assume that for each birth, p(girl) = 0.5, p(boy) = 0.5.

Solutions

Expert Solution

Given that a married couple has 3 children.

and P(Girl) = P(Boy) = 0.5

It is clearly a case of binomial distribution where n = 3

Let X be the number of boys.

Now,

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Boys and Girls: Suppose a couple plans to have two children and the probability of having...
Boys and Girls: Suppose a couple plans to have two children and the probability of having a girl is 0.50. (a) What is the sample space for the gender outcomes? {bb, bg, gg} {b,g}     {bb, bg, gb, gg} {bb, gg} (b) What is the probability that the couple has one boy and one girl? 1 3 1 4       1 2 3 4 (c) What is the probability that the couple will have at least one girl? 1 4 1...
A couple wants to have 2 boys and 2 girls. They will continue to have children...
A couple wants to have 2 boys and 2 girls. They will continue to have children until they have reached the goal.
 Assuming that the probability that they have 54% chance to have a boy and 46% chance to have a girl in every pregnancy. No twin or more are possible. 
Assuming that their goal is possible and has been fulfilled today! Create at least four hypotheses based on the data file provided! 1) Use a different test for each...
1. A married couple decides that they will continue to have children until they have 3...
1. A married couple decides that they will continue to have children until they have 3 girls. It is assumed that having a boy or a girl is equally likely. a. What is the probability that the couple has 5 children until they have 3 girls? (specify the variable and what distribution is being used) b. How many children does this couple expect to have until they have girls? (specify the variable and what distribution is being used)
Jack has two children. What is the probability that both are boys. In addition, what is...
Jack has two children. What is the probability that both are boys. In addition, what is the probability the oldest is a boy, at least one is a boy, at least oen boy is born on a monday. Thanks for the help!
1). If a couple has two children, what is the probability that they are both girls...
1). If a couple has two children, what is the probability that they are both girls assuming that the older one is a girl? 2). Suppose that we have two dice, the first one being a regular die, and the second weighted so that half the time it rolls a 1, and half the time it rolls a 2 (it never rolls anything else). If we choose one of these dice at random, and roll a 1, what’s the probability...
Assume that boys and girls are equally likely. Find the probability that when a couple has...
Assume that boys and girls are equally likely. Find the probability that when a couple has three children, there is exactly one girl.
Gender of a Children: A couple has 4 children . Find each probability A. exactly two...
Gender of a Children: A couple has 4 children . Find each probability A. exactly two girls and two boys B. At least one child who is a girl C. At least one child of each Gender.
John and Jenn are a married couple in their mid-forties. They have two teenaged children, one...
John and Jenn are a married couple in their mid-forties. They have two teenaged children, one of whom is going to be starting university in the fall. They have been life-long savers, started contributing to registered educational savings plans (RESPs) when each of their children were born, and have a small mortgage remaining on their home. During their annual review, what changes to their asset allocation would be beneficial? 1. Increase in bond and money market funds to increase interest...
John and Jenn are a married couple in their mid-forties. They have two teenaged children, one...
John and Jenn are a married couple in their mid-forties. They have two teenaged children, one of whom is going to be starting university in the fall. They have been life-long savers, started contributing to registered educational savings plans (RESPs) when each of their children were born, and have a small mortgage remaining on their home. During their annual review, what changes to their asset allocation would be beneficial? 1. Increase in bond and money market funds to increase interest...
If a family has six children, is it more likely they will have three boys and...
If a family has six children, is it more likely they will have three boys and three girls, or four of one gender and two of the other? Assume each child is a boy or a girl with equal probability, independently of other children.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT