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)
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.
55. A family has three children. Let A be the event that
they have less than two girls and B be the event that they have
exactly two girls.
(a) List all of the basic outcomes in A.
(b) List all of the basic outcomes in B.
(c) List all of the basic outcomes in A ∩ B
(d) List all of the basic outcomes in A U B.
(e) If male and female births are equally likely, what is...
in R.
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl. Do the same if all people had children until they had at least one boy and at least one girl. How many more children would you expect to find under the second scheme than under the first in 100,000 families? (Assume that girls and boys are equally likely.)
The Wilson family had 7 children. Assuming that the probability
of a child being a girl is 0.5, find the probability that the
Wilson family had at least 6 girls? at most 6 girls? Round your
answers to 3 decimal places.
The Wilson family had 9 children. Assuming that the probability
of a child being a girl is 0.5, find the probability that the
Wilson family had: at least 2 girls? at most 3 girls? Round your
answers to 4 decimal places.
The Jameson family have three young children, ages 8, 6 & 2.
They live in a home in an urban area adjacent to a local
construction company. The construction company owns multiple
construction vehicles, including several back hoes. The property is
gated and fenced and there are "NO TRESPASSING" signs posted
throughout the property. One day, the Jameson's 8 year old daughter
managed to climb through a hole in the company's fence to play on
the property. While there, she...
In a couple's family history, male children dominate the
offspring. This couple seeks to break the tradition and decides to
have children until they have a desired number of girls. Let us
suppose that there is no factor that indicates that the number of
men in your family has biological causes and that the distribution
of women and men in your family has been a mere coincidence.
a)Find the probability that the family will have four children
if they have...
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 52.00 %. a)
Create a probability model for the number of children they'll
have. b) Find the expected number of children. c) Find the
expected number of boys they'll have.
A couple decides to have children. Both have the same genotype:
they are fully heterozygous at the following loci: albino (Aa), MN
blood group (L^M L^N), and Rh factor (Rh+/Rh-). The Rh+ allele is
dominant to the Rh- allele. Assuming that the genes encoding these
traits are located on different autosomes, determine the excepted
genotypic and phenotypic of their ratios in their
offspring.