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  1. To study the effects of location and music on studying, a researcher selects 100 college students at random and has them study 2 hours for a standardized test. Half of the students study in a familiar location (their dorm room), and the other half study in an unfamiliar location (a study desk at the library). Within each group, music is played for half of the students and no music is played for the other half. After 2 hours of study time, all of the students take the standardized test and their scores are compared. Which of these terms best describes the combination of being in an unfamiliar location and having no music playing?

 

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1. Mr. Doodle’s grade distribution over the past 3 years for a course in college algebra is shown in the chart below.Number4518021095655If Jane plans to take a college algebra course with Mr. Doodle, determine the empirical probability that she receives a C.2. The theoretical probability of undesirable side effects resulting from taking Grebex is 2 in 19. If 380 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects? 5. Determine the odds against the spinner landing on green. 8 spaces total. 4 – red, 2 – green, 2 – yellow6. The odds against Lounging Larry winning the horse race are 12:5. Determine the probability that Lounging Larry wins the horse race.7. In a multiple-choice test, each question has five options. Students will get 3 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value.8. One thousand raffle tickets are sold for $2.00 each. One grand prize of $600 and two consolation prizes of $100 each will be awarded. Jeremy purchases one ticket. Find his expected value.A person spins the pointer and is awarded the amount indicated by the pointer. Spinner is divided into 3 halves. 1/2 totals 2 dollars, one small area is 8 dollars and the other is 5 dollarsIt costs $6 to play the game. Determine: The expectation of a person who plays the game.The fair price to play the game.Show your work for full credit

 

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Ex 8.4  (Rectangle Class) Create a class Rectangle with attributes length and width, each of which defaults to 1. Provide methods that calculate the rectangle’s perimeter and area. It has set and get methods for both length and width. The set methods should verify that length and width are each floating-point numbers larger than 0.0 and less than 20.0. Write a program to test class Rectangle.

Ex : 8.6 (Savings Account Class) Create class SavingsAccount. Use a static variable annualInterestRate to store the annual interest rate for all account holders. Each object of the class contains a private instance variable savingsBalance indicating the amount the saver currently has on deposit.Provide method calculateMonthlyInterest to calculate the monthly interest by multiplying the savingsBalance by annualInterestRate divided by 12—this interest should be added to savings- Balance. Provide a static method modifyInterestRate that sets the annualInterestRate to a new value. Write a program to test class SavingsAccount. Instantiate two savingsAccount objects, saver1 and saver2, with balances of $2000.00 and $3000.00, respectively. Set annualInterestRate to 4%, then calculate the monthly interest for each of 12 months and print the new balances for both savers. Next, set the annualInterestRate to 5%, calculate the next month’s interest and print the new balances for both savers.

Ex :8.14 (Date Class) Create class Date with the following capabilities:

a) Output the date in multiple formats, such as

MM/DD/YYYY

June 14, 1992

DDD YYYY

b) Use overloaded constructors to create Date objects initialized with dates of the formats

in part (a). In the first case the constructor should receive three integer values. In the

second case it should receive a String and two integer values. In the third case it should

receive two integer values, the first of which represents the day number in the year.

 

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Chapter 3, exercises in 3.11

5. Consider the following data set for a binary class problem.

A B Class Label

T F

T T

T T

T F −

T T

F F −

F F −

F F −

T T −

T F −

a. Calculate the information gain when splitting on A and B. Which

attribute would the decision tree induction algorithm choose?

b. Calculate the gain in the Gini index when splitting on A and B.

Which attribute would the decision tree induction algorithm

choose?

c. Figure 3.11 shows that entropy and the Gini index are both

monotonically increasing on the range [0, 0.5] and they are both

monotonically decreasing on the range [0.5, 1]. Is it possible that

information gain and the gain in the Gini index favor different

attributes? Explain.

7. Consider the following set of training examples.

X Y Z No. of Class C1 Examples No. of Class C2 Examples

0 0 0 5 40

0 0 1 0 15

0 1 0 10 5

0 1 1 45 0

1 0 0 10 5

1 0 1 25 0

1 1 0 5 20

1 1 1 0 15

a. Compute a two-level decision tree using the greedy approach

described in this chapter. Use the classification error rate as the

criterion for splitting. What is the overall error rate of the induced

tree?

b. Repeat part (a) using X as the first splitting attribute and then

choose the best remaining attribute for splitting at each of the two

successor nodes. What is the error rate of the induced tree?

c. Compare the results of parts (a) and (b). Comment on the suitability

of the greedy heuristic used for splitting attribute selection.

8. The following table summarizes a data set with three attributes A, B,

C and two class labels , −. Build a two-level decision tree.

A B C

Number of Instances

T T T 5 0

F T T 0 20

T F T 20 0

F F T 0 5

T T F 0 0

F T F 25 0

T F F 0 0

F F F 0 25

a. According to the classification error rate, which attribute would be

chosen as the first splitting attribute? For each attribute, show the

contingency table and the gains in classification error rate.

b. Repeat for the two children of the root node.

c. How many instances are misclassified by the resulting decision

tree?

d. Repeat parts (a), (b), and (c) using C as the splitting attribute.

e. Use the results in parts (c) and (d) to conclude about the greedy

nature of the decision tree induction algorithm.

 

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