||Assignments and Homework*
||Enter the frequency of your data into THIS GOOGLE FORM
Which sum appeared most frequently from your dice rolling experiment? Does this make sense? Why/why not?
|Combine data from the last homework.
List the sample space of the event where we roll 2 dice.
Calculate the proportion of receiving a particular sum of the dice roll.
|Pg. 551 #2
Compute the proportions for the number of times each total happened for all class' data (periods 1, 3, and 5). Organize this information in a table and produce an histogram (by hand) of the results. Compare the class results to your own (i.e. give similarities and differences).
||How many ways are there to select six
numbers from a group of 49 unique integers?
||Counting Basics (Lesson 9.1; pp.
JR: Explain how to tell when a situation is a combination rather than a permutation.
|Pgs. 552-554 #5, 6
||Arthur Dent has twelve shirts and eight
pairs of slacks. How many “outfits” can he
make? Explain in simple language how you arrived at
your solution and include a diagram.
||Continue Counting Basics (Lesson
9.1; pp. 544-550)
Overview from lesson:
JR: An aircraft’s transponder has four digits, each of which can be zero through seven. Explain in, simple language, how to determine how many "Squawk Codes" a transponder is capable of displaying.
|Pgs. 552-554 #10, 11
Review Notes from Class.
||The Seahawks have 77 active players on
their roster. During regulation play, 11 make up a team of
players. How many different teams can be made?
JR: Reflect on instances when:
|Pgs. 551-553 #1, 3, 7
|At the Boeing plant in Everett, there are
about 30,000 people that work in 3 shifts. There are
approximately 14 different jobs on the factory floor, but
generally people are only eligible to work one of the
Suppose you were to schedule employees for work, explain how you would plan a schedule for the Aircraft mechanic (total of A eligible employees for a line jobs), the Electricians (E eligible employees for e line jobs) and the Machinists (M eligible employees for m line jobs).
|Compound Events (Lesson 9.2; pp.
Pg 561# 3, 4, 5, 10, 13
JR: How many numbers that are greater than 6000
can be formed from the digits 3,4,5,6,7?
|p. 561 # 2, 9
||A committee is to be formed from a group of
eight students: 5 boys and 3 girls. The committee
must have 2 boys and 2 girls. How many different
committees can be formed?
||Quiz 9.2 (determine the number of possible
outcomes given a "real world" scenario). 3 x 5 note card
okay, Calculators not allowed.
JR: Explain the addition and multiplication principles. When would you use each?
|Pg. 551 #4; p. 562-565 #6, 8
||Consider a string of four 0s and 1s. Use at
least two counting techniques to determine the number of
different codes that are possible.
||Create ten rows of Pascal's Triangle.
See p. 571 #3.
The Binomial Theorem (Lesson 9.3; pp. 566-570). Expand the binomial (a + b)5
JR: What is the connection between combinatorics and The Binomial Theorem?
|Pg. 571-572 #3, 4, 7.
||What is the probability of rolling a sum of
six on a standard pair of dice? What is the
probability of NOT rolling a sum of six?
||What is the probability of selecting
exactly five college graduates (for a jury of twelve) from
a population that has 30% college graduates? What if
the number of college graduates were five or less?
Create a probability distribution modeling the selection of jurors from a population that has 30% college graduates.
Record your data in this Google Form
JR: What is required for a situation to be considered a "binomial probability?"
|Calculate the probability of rolling a
total of six or less five times on a pair of dice in
twenty rolls. Could this be considered a "rare
Complete the survey linked HERE
|Record your data in this Google
Create a histogram of the proportions of the class data from this Google Sheet for the population assigned yesterday.
Learn the Binomial Distribution
Use the Binomial Distribution to create a histogram of the theoretical probability for each outcome.
JR: Write down the binomial distribution, explain the meaning behind each part of the distribution.
|1. Finish the theoretical histogram for
Jury Selection for your population from Tuesday. Show the
proportion for each category.
2. Write the appropriate binomial and expand it to model the outcome of having three children if the probability of having a boy child is 51%. Calculate the probability of having
|Explain what happens when the probability
of all possible outcomes are added together. Provide an
||The Cumulative Probability Density
Function. Begin Probabilities
Connections Activity between Binomial Expansion and Probability from a Binomial Distribution.
JR: Explain how binomcdf can be found from binompdf.
Begin Chapter Review Problems: Pg. 574 #3, 4, 7, 8, 11 (use Binomial Theorem), 15.
|Boston Market boasts it has "over 3000 meals" created by choosing 3 of its 16 side dishes. Why is this not correct? Be explicit, then compute the correct number of meals.||Problem demonstrations.
JR: Derive the appropriate term of the binomial (a + b)20 and use it to determine the probability of rolling a total of six seven times on a pair of dice in twenty rolls. Use this answer to also determine the probability of NOT rolling a total of six on a pair of dice exactly seven times in twenty rolls.
|Derive the appropriate
term of the binomial that will compute the probability
that exactly sixty people will pass a test out of a sample
of 105 if the probability of passing is 0.60.
Continue Chapter Review Problems: Pg. 574 #3, 4, 7, 8, 11 (use Binomial Theorem), 15
||Calculate the probability of getting a sum
of ten or less three or fewer times when a pair of
twelve-sided dice are rolled five times.
||In-class review: Questions from homework,
activities, and quizzes will be answered. Bring your
papers and ask questions!
JR: Explain two purposes of The Binomial Theorem. Give examples.
|Prepare for tomorrow's
Finish Chapter Review Problems. Pg. 574 #3, 4, 7, 8, 11 (use Binomial Theorem), 15
|Get ready for the Test!
||Chapter 9 Test, Part 1. You may use
YOUR calculator and a 3 x 5 note card* (writing on both
sides is permitted). Measurement devices (e.g. ruler
and protractor) are also allowed. Expect questions
JR: Suggest some ways Mr. G's teaching of this unit could be improved.
|Search your notebooks
from former math classes, or conduct an internet search
about circles, triangles, midpoints and distance formulas
in Euclidean Geometry. Bring 1 notebook page of your