Question

A couple plans to have seven children. Find the probability that they will have more than two girls. (Assume the probability of having a girl is 0.50. Round your answer to four decimal places.)

Answer #1

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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.

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...

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

Problem: Suppose that a couple will have 3 children. Assume that
the probability of having a girl is .487 and the probability of
having a boy is .513. Also assume that x is a random variable for
the number of girls and find the probability where x is 0, 1, 2, or
3. In order words, answer the following probability questions.
What is the probability that none of the three children will be
girls?
What is the probability that exactly...

Problem: Suppose that a couple will have 3 children. Assume that
the probability of having a girl is .487 and the probability of
having a boy is .513. Also assume that x is a random variable for
the number of girls and find the probability where x is 0, 1, 2, or
3. In order words, answer the following probability questions. What
is the probability that none of the three children will be girls?
What is the probability that exactly...

1.A couple plans to have four children. Hint: Find the sample
space
. a- Find the probability that at least one child is a boy
b- Find the probability that two of the children are girls.

A couple is planning on having 5 children and the probability of
having a girl is 0.517. If we define the random variable to be the
number of girls in 5 births, then the probability the couple will
have less than 3 girls is 0.468.
Is the event the couple will have less than 3 girls an unusual
event? Briefly explain.

A couple wants to have three children.
A. Construct a probability distribution for the number
of girls in three births
B. Probability of at most 1 girl
C. Probability of more than 2 girls
D. Probability of at least 1 girl.

The probability of birth of a girl is 0.5. A couple wants to
have children until they have at least two girls in their
families.
What is the probability that the family will have four
children?
A. 1/16
B. 21/32
C. 7/16
D. 11/32

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.

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