Question
In: Statistics and Probability
A family has 12 children and two parents. (So, 14 people total.) On these problems, clearly...
A family has 12 children and two parents. (So, 14 people
total.) On these problems, clearly state what you are taking to be
pigeons and what you are taking to be pigeonholes, and apply the
pigeonhole principle.
a. Show that at least two of the children were born on the
same day of the week.
b. Show that at least two family members are born in the same
month.
c. The house has four children’s bedrooms. Show that there is
at least one bedroom with at least 3 children sleeping in it.
(Hint: use the generalized pigeonhole principle)
Solutions
orchestra answered 1 year agoRelated Solutions
The Chan family composed of the parents (aged 40 and 42) and two children (Tom and...
The Chan family composed of the parents (aged 40 and 42) and two
children (Tom and Mary, aged 18 and 16 respectively), they have
four goals that they would like to achieve:
To have the children (Tom and Mary) to receive university
education in US
To accumulate enough for a luxury cruise trip in around 10
years
Save enough for retirement in 20-22 years.
And he is considering invest in
Small Cap Stocks
Blue Chips (Stocks)
Long dated High yield...
Tim and Allison are married and have two children, ages 12 and 14. Allison is a...
Tim and Allison are married and have two children, ages 12 and
14. Allison is a "nonworking" spouse who devotes all of her time to
household activities. Estimate how much life insurance Tim and
Allison should carry to cover Allison.
Life insurance need:
In a family of 4 children, what is the probability that two of the children are...
In a family of 4 children, what is the probability that two of
the children are boys and two of the children are girls?
answer correct to 4 decimal places
Billy and Peg have two children, ages 8 and 14. They spent a total of $6,200...
Billy and Peg have two children, ages 8 and 14. They spent a
total of $6,200 this year ($3,100 per child) on employment related
expenses for the care of their children after school. Billy earned
a salary of $17,000 and Peg earned a salary of $19,000. They do not
have any deductions for AGI, and they file a joint return.
Calculate the dollar amount of their tax credit for child and
dependent care expenses.
A. $1,380. B. $1,035. C. $1,488....
On a weekend, two parents take their children (A, B and C) to the movies. They...
On a weekend, two parents take their children (A, B and C) to
the movies. They sit in a row of five seats. Find the probability
that
a) A and B sit next to each other.
b) Alice and C do not sit next to each other.
c) Alice and B sit next to each other while A and C do not sit
next to each other.
#1. Some people believe that a great difference in age between parents and children is more...
#1. Some people believe that a great difference in age between
parents and children is more beneficial. Do you agree or disagree
with the statement?
Outline Template
I. Introduction
Hook (introduces the issue)
____________________________________________________
Background Information (broader picture of the issue)
_______________________________
Thesis statement
_____________________________________________________________
II. Body
A. Body Paragraph 1:
1. Topic sentence 1:
________________________________________________________
2. Supporting details:
______________________________________________________________________
______________________________________________________________________
_______________________________________________________________________
B. Body Paragraph 2:
1. Topic sentence 2:
________________________________________________________
2. Supporting details:
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
C. Body Paragraph...
Two average height parents have several children, all about the same average height as their parents....
Two average height parents have several children, all about the
same average height as their parents. Which set of parental
genotypes could account for these data? (Mark all correct
answers)
a.
AABBCC x aabbcc
b.
AABB x aabb
c.
AABBccdd x aabbCCDD
d.
AABBccdd x AABBccdd
e.
AaBbCcDd x AaBbCcDd
If height in plants was controlled by three additive genes, A,
B, and C, a cross of an intermediate plant with a genotype of
AaBbCc with an intermediate plant with...
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl.
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.)
Greg and Cindy Hana, 35 and 27, are the parents of two small children with a...
Greg and Cindy Hana, 35 and 27, are the parents of two small
children with a third on the way. They are concerned about their
financial future and are wondering if they're doing things right.
Greg is the sole breadwinner and earns $66,000 annually. He works
in a relatively dangerous occupation (city cop in Newark, NJ) and
is eligible to receive a pension when he is only age 48, with 25
years of service.
The Hana's short-term financial goals are...
Greg and Cindy Hana, 35 and 27, are the parents of two small children with a...
Greg and Cindy Hana, 35 and 27, are the parents of two small
children with a third on the way. They are concerned about their
financial future and are wondering if they're doing things right.
Greg is the sole breadwinner and earns $66,000 annually. He works
in a relatively dangerous occupation (city cop in Newark, NJ) and
is eligible to receive a pension when he is only age 48, with 25
years of service.
The Hana's short-term financial goals are...
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