1 Exampromax - Stuvia US
STA 210 Chapter 6 Homework Questions and
Answers 100% Correct Answers Already
Graded A+
Q: Connecting Relative Area to ProbabilityThe likelihood of college
students playing corn hole is high, but have you ever thought about how
likely it is that you will actually get the bag in the hole? If we take some
liberties both with the game and with the specifics of the underlying
probability, we can gain some understanding about the natural relationship
between relative area and common-sense probability! The key will be to not
overthink the problem.
Exampromax - Stuvia US
Question: Suppose you aren't very good at corn hole. In fact, suppose the
best you can do is to know that your throw will at least hit some random
place on the board. If the surface of an official corn hole board looks like the
diagram shown, what are the chances that it will hit the hole?Think of the
bag as a very small item, and remember you don't really aim. Rather, your
toss just lands at a random place on the board. Look at the picture on page
131.
About 41 chance
Ans: About 2.5 chances in 100, since 28.27/1152 = 0.0245
Q: Now suppose the corn hole board has a funny bell-shape, with the hole
delineated by the two vertical line segments. Granted, this would be the
height of nerd tailgating. Suppose also that the entire bell-shaped sheet is 8
square feet, just like a regulation corn hole board surface. We are still only
guaranteed that our throw will land someplace randomly on the board.
Look at the graphs on page 132.
Question: Suppose you toss the bean bag at random toward the board, just
as in a. Which of the two bell boards, A or B, would be better to play on
and why?
Board B since there is a smaller chance of the bag going in the hole
Board B since there is a greater chance of the bag going in the hole
, 2 Exampromax - Stuvia US
Board A since there is a smaller chance of the bag going in the hole
Board A since there is a greater chance of the bag going in the hole
Ans: Board A since there is a greater chance of the bag going in the hole
Q: If you are just throwing the bean bag at the bell board at random, then
how would you figure out the chances of the bag going into the hole in
Board A? (graph on page 132)
8 divided by the area of the entire board
The area of the board divided by the area of the hole
The area of the hole in A divided by the area of the hole in B
The area of the hole, divided by the area of the entire board
Ans: The area of the hole, divided by the area of the entire board
Exampromax - Stuvia US
Q: Face in Class BooksIn a 2012 Washington Post article entitled "Is
College Too Easy? As Study Time Falls, Debate Rises," Daniel de Vise
reports that "over the past half-century, the [average] amount of time college
students actually study—read, write, and otherwise prepare for class—has
dwindled from 24 hours a week to about 15 ...." No standard deviation is
given, but let's assume that standard deviation is 2.5 hours. Use this
information to answer the next 3 questions.
Question: Suppose a college student is selected at random. Use the
empirical rule to estimate how likely it is that this student studies between
10 and 17.5 hours per week.
about 13.5 chances in 100
About 50% of the time
About 81.5 chances in 100
about 2.5 chances in 100
Ans: About 81.5 chances in 100
Q: Suppose a college student is selected at random. Use the empirical rule
to estimate how likely it is that this student studies between 17.5 and 20
hours per week.
about 81.5 chances in 100
STA 210 Chapter 6 Homework Questions and
Answers 100% Correct Answers Already
Graded A+
Q: Connecting Relative Area to ProbabilityThe likelihood of college
students playing corn hole is high, but have you ever thought about how
likely it is that you will actually get the bag in the hole? If we take some
liberties both with the game and with the specifics of the underlying
probability, we can gain some understanding about the natural relationship
between relative area and common-sense probability! The key will be to not
overthink the problem.
Exampromax - Stuvia US
Question: Suppose you aren't very good at corn hole. In fact, suppose the
best you can do is to know that your throw will at least hit some random
place on the board. If the surface of an official corn hole board looks like the
diagram shown, what are the chances that it will hit the hole?Think of the
bag as a very small item, and remember you don't really aim. Rather, your
toss just lands at a random place on the board. Look at the picture on page
131.
About 41 chance
Ans: About 2.5 chances in 100, since 28.27/1152 = 0.0245
Q: Now suppose the corn hole board has a funny bell-shape, with the hole
delineated by the two vertical line segments. Granted, this would be the
height of nerd tailgating. Suppose also that the entire bell-shaped sheet is 8
square feet, just like a regulation corn hole board surface. We are still only
guaranteed that our throw will land someplace randomly on the board.
Look at the graphs on page 132.
Question: Suppose you toss the bean bag at random toward the board, just
as in a. Which of the two bell boards, A or B, would be better to play on
and why?
Board B since there is a smaller chance of the bag going in the hole
Board B since there is a greater chance of the bag going in the hole
, 2 Exampromax - Stuvia US
Board A since there is a smaller chance of the bag going in the hole
Board A since there is a greater chance of the bag going in the hole
Ans: Board A since there is a greater chance of the bag going in the hole
Q: If you are just throwing the bean bag at the bell board at random, then
how would you figure out the chances of the bag going into the hole in
Board A? (graph on page 132)
8 divided by the area of the entire board
The area of the board divided by the area of the hole
The area of the hole in A divided by the area of the hole in B
The area of the hole, divided by the area of the entire board
Ans: The area of the hole, divided by the area of the entire board
Exampromax - Stuvia US
Q: Face in Class BooksIn a 2012 Washington Post article entitled "Is
College Too Easy? As Study Time Falls, Debate Rises," Daniel de Vise
reports that "over the past half-century, the [average] amount of time college
students actually study—read, write, and otherwise prepare for class—has
dwindled from 24 hours a week to about 15 ...." No standard deviation is
given, but let's assume that standard deviation is 2.5 hours. Use this
information to answer the next 3 questions.
Question: Suppose a college student is selected at random. Use the
empirical rule to estimate how likely it is that this student studies between
10 and 17.5 hours per week.
about 13.5 chances in 100
About 50% of the time
About 81.5 chances in 100
about 2.5 chances in 100
Ans: About 81.5 chances in 100
Q: Suppose a college student is selected at random. Use the empirical rule
to estimate how likely it is that this student studies between 17.5 and 20
hours per week.
about 81.5 chances in 100
