Question

A married couple decides that they will continue to have children until they have 3 boys. 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 boys? (b) How many children does this couple expect to have until they have 3 boys?

please show your work

Answer #1

A married couple decides that they will continue to have
children until they have 3 boys. 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 boys? (b) How many children
does this couple expect to have until they have 3 boys?

1. If a couple plans to have 4 children, what is the probability
that there will be at least one girl? Assume boys and girls are
equally likely.
2. Find the probability of a couple having a baby boy when their
4th child is born, given that the first three children were all
boys. Assume boys and girls are equally likely.

A
young couple decides to keep having children until they have a
girl. Assuming a boy or a girl are equi-probable possibilities in
the birth of every child and the gender of every child is
independent of the previous, what would be the expected number of
children the couple would have when the first girl is born? What is
the probability that the fourth child would be the first
girl?

A couple decides to have 5 children. Find the probability of the
couple having a baby boy when their fifth child is born
given that the first four children were all boys.

A couple plans to have children until they get a girl, but they
agree they will not have more than three children, even if all are
boys. Assume that the probability of having a girl is
0.50.5.
Let X be a random variable indicating how many children the
couple will have. Find the standard deviation of the random
variable X.
x
11
22
33
P(X=x)
0.5000.500
0.2500.250
0.250

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, gb, gg}{bb, bg, gg} {bb,
gg}{b,g}
(b) What is the probability that the couple has one boy and one
girl?
1
2
3
4
1
4
1
3
(c) What is the probability that the couple will have at least one
girl?
1
4
1
2
3...

One-quarter of the married couples in a distant society have no
children at all. The other three quarters of families continue to
have children until the first girl, and then cease childbearing.
Assume that each child is equally likely to be a boy or girl.
a) For k=0,1,2,..., what is the probability that a particular
husband will have k male offspring?
b) What is the probability that the husbands' male line of
descent will cease to exist by the nth...

Assume that girls and boys are equally likely and the event
"having a girl" does not affect the future/past probability of
"having a boy" and vice versa. Also, there are no twins. You see a
woman walking on the street with a girl. She tells you that she has
three children and that the girl with her is her daughter. a) What
is the probability that she has two boys? Incorrect: Your answer is
incorrect. (enter a fraction) b) What...

Find the probability that when a couple has five children, at
least one of them is a boy. (Assume that boys and girls are
equally likely.

A family has 19 children. Assume boys and girls are equally
likely and that the gender of one child does not affect the gender
of another child. Find the following probabilities:
a) The probability of the family having no girls.
b) The probability of the family having exactly nine girls.
c) The probability of the family having exactly seven boys.
(Please show all work.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 12 minutes ago

asked 30 minutes ago

asked 37 minutes ago

asked 40 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago