Consider the following numbers 3, 6, 9, 12, . . . , 75. Show
that if...
Consider the following numbers 3, 6, 9, 12, . . . , 75. Show
that if we pick 15 arbitrary numbers from them, then we will find
two that have sum equal to 81. I understand that there are 12
distinct sets containing pairs that sum to 81 plus a singleton
subset {3}. but wouldn't this mean that there are 2 remaining
"empty holes" that need to be filled? Not sure how to apply the
pigeonhole principle here.
If we let N stand for the set of all natural numbers, then we
write 6N...
If we let N stand for the set of all natural numbers, then we
write 6N for the set of natural numbers all multiplied by 6 (so 6N
= {6, 12, 18, 24, . . . }). Show that the sets N and 6N have the
same cardinality by describing an explicit one-to-one
correspondence between the two sets.
QUESTION 6
In classification analysis, we typically split the data into two
mutually exclusive data sets,...
QUESTION 6
In classification analysis, we typically split the data into two
mutually exclusive data sets, such as __________________, to
validate the strength of the developed model.
Training and validation/testing
Training and Binary
Testing and validation
A loan officer wants to know if the next customer is likely to
default or not default on a loan. How can he assess the risk of
extending the credit to that customer?
By asking his colleague if he knows...
Given the data set A = {5, 4, 6, 14, 2, 2, 11, 4, 5, 8,...
Given the data set A = {5, 4, 6, 14, 2, 2, 11, 4, 5, 8, 3, 1,
12, 15, 13}, which is the data of a sample taken from a larger
population. Please Solve NOT Using Excel
Calculate the mean deviation Show all work! (5
pts)
Mean= 7
MD= (|5-7|+ |4-7|+
|6-7|+|14-7|+|2-7|+|2-7|+|11-7|+| 4-7|+ |5-7|+| 8-7|+|
3-7|+|1-7|+|12-7|+ |15-7|+| 137|)/7
Mean deviation = 4.13
Calculate the variance Show all work! (5
pts)
Calculate the standard deviation Show all
work! (5...
5. These sets of quantum numbers are each supposed to specify an
orbital. One set, however,...
5. These sets of quantum numbers are each supposed to specify an
orbital. One set, however, is erroneous. Which one and why?
a. n = 3; l = 0; ml = 0
b. n = 2; l = 1; ml = –1
c. n = 1; l = 0; ml = 0
d. n = 4; l = 1; ml = –2
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,...
4. Let set U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 16, 17, 18, 19, 20}
set A = numbers in U that divide into 12 with no remainder,
set B = numbers in U that divide into 16 with no remainder, and set
C = the numbers in U that divide into 20 with no remainder.
a. Made a Venn diagram showing the elements of the sets U, A,...
QUESTION 5: A 4-sided die is used for some games. This die can
only land on...
QUESTION 5: A 4-sided die is used for some games. This die can
only land on the numbers 1, 2, 3, or 4. All these outcomes are
equally likely. Suppose we roll two 4-sided dice.
a. (3 pts) Write out the sample space (the set of all the ways
in which the two dice could land).
b. (2 pts) What is the probability that at least one of the dice
shows a 3?
c. (3 pts) Suppose we compute the...