The following table summarizes the responses of a sample of 25 workers who were asked how many miles they had to travel to go to work.

Miles	Frequency
0<10	3
10<20	10
20<30	2
30<40	5
40<50	4
50<60	1

Suppose you build a histogram with this information. Describe it

A. "A single peak, skewed to the left (left-skewed)."

B. "A single peak, skewed to the right (right-skewed)."

C. "Bimodal, skewed to the right (right-skewed)."

D. "Bimodal, skewed to the left (left-skewed)."

"The survival time of patients after a certain type of surgery has a skewed distribution to the right due to the presence of outliers. Consequently, which statement is more likely to be correct?"

A. Median (median)> range

B. Average (mean) <median (median)

C. Average (mean)> median (median)

D. None of the above.

A distribution will be skewed to the left (left-skewed) if

A. Median <mid axis (midhinge)

B. Medium> mid axis (midhinge)

C. Median = mid axis (midhinge)

D. None of the above.

"Since P (A) = 0.4, P (B) = 0.5 and P (A ∩B) = 0.05. Then:"

A. P (A∪B) = 0.80; P (A / B) = 0.1

B. P (A∪B) = 0.85; P (A / B) = 0.15

C. P (A∪B) = 0.85; P (A / B) = 0.10

D. None of the above.

The average of the exam of a class of 30 students was 75. The average of the exam for the 20 male students of that class was 70. Then the average of the exam for the 10 female students was:

A. 85

B. 80

C. 75

D. None of the above.

"Two events are complementary (that is, they are complements), yes"

A. The sum of your odds is equal to one.

B. The probability of your interception is equal to one.

C. They are two independent events with equal probabilities.

D. None of the above.

What probability function can be used to describe the number of damaged printers in a random sample of 12 printers taken from a shipment of 70 printers consisting of 6 damaged printers?

A. Poisson

B. Hypergeometric

C. Binomial

D. None of the above.

You have the following probability distribution of the random variable X:

X	P(X)
100	0.1
150	0.2
200	0.3
250	0.3
300	0.1

The expected value of X is:

A. 175

B. 150

C. 205

D. None of the above.

The variable Z has a standard normal distribution. The probability P (0.71 <Z <1.43) is:

A. 0.1625

B. 0.92

C. 0.5

D. 0.485

"Suppose that X has a normal distribution with a mean μ = $ 64. Given that P (X> $ 75) = 0.2981, we can calculate that the standard deviation of X is approximately"

A. $ 20.75

B. $ 13.75

C. $ 5.83

D. $ 7.05

"In Quebec, 90% of the population is Catholic. In a random sample of 8 people find the probability that the sample contains at least five Catholics."

A. 0.005

B. 0.0331

C. 0.995

D. 0.9619

You received a high-yield savings account that contains $1,000,000. The account has a 7% annual interest rate and you want to take out a constant amount every year for 40 years.

1. How much would you be able to withdraw every year? Hint: the annual interest rate should be used as the discount rate in the finite time annuity formula.

2. Using Microsoft Excel, decompose your annual withdrawals into interest revenue and revenue earned from principal deduction (for example, at t=1, you get 7% x $1,000,000 in interest, and take the remaining amount from the principal – these together should equal the amount you determined in (1)). Graph interest revenue and principal revenue together, with time on the xaxis. Report the graph based on all 40 years, and only report the interest revenue and principal revenue numbers for the first 10 years.

3. Suppose you want to take out $100,000 per year. For how many years would you be able to make this exact withdrawal?

4. After your last exact withdrawal from (3), you decide to withdraw everything in your account one year later. How much money would you get from your final withdrawal?

How many 10 digit decimal numbers contain:

a-) exactly three 7’s ?

b-) at most two 7’s ?

c-) at least two 7’s ?

please explain when solving problems. thanks

1.) What does it mean when glassware is labelled “TD”? How is that different from “TC”?

2.) Pipets with multiple graduation marks are what type of pipet? Are they always TD or TC?

3.) Pipets with ONE marks are what type of pipet? Are they always TD or TC?

4.) (T / F) Quantitative analysis may be used to determine how many different compounds are in a sample. (Explain your answer.)

5.) Is acid/base titration a separation method? Why or why not?

6.) List and briefly explain three separation methods

7.) List the seven steps of chemical analysis as described in our text and briefly explain each one.

Birthday problem. Suppose that people enter a room one at a time. How people must enter until two share a birthday? Counterintuitively, after 23 people enter the room, there is approximately a 50–50 chance that two share a birthday. This phenomenon is known as the birthday problem or birthday paradox.

Write a program Birthday.java that takes two integer command-line arguments n and trials and performs the following experiment, trials times:

• Choose a birthday for the next person, uniformly at random between 0 and n−1.n−1.
• Have that person enter the room.
• If that person shares a birthday with someone else in the room, stop; otherwise repeat.

In each experiment, count the number of people that enter the room. Print a table that summarizes the results (the count i, the number of times that exactly i people enter the room, and the fraction of times that i or fewer people enter the room) for each possible value of i from 1 until the fraction reaches (or exceeds) 50%.

Submission. Submit a .zip file containing DiscreteDistribution.java, ThueMorse.java, Birthday.java, and Minesweeper.java. You may not call library functions except those in the java.lang (such as Integer.parseInt() and Math.sqrt()). Use only Java features that have already been introduced in the course (e.g., loops and arrays, but not functions).

C++

Instructions

A company hired 10 temporary workers who are paid hourly and you are given a data file that contains the last name of the employees, the number of hours each employee worked in a week, and the hourly pay rate of each employee. You are asked to write a program that computes each employee’s weekly pay and the average salary of all employees. The program then outputs the weekly pay of each employee, the average weekly pay, and the names of all the employees whose pay is greater than or equal to the average pay. If the number of hours worked in a week is more than 40, then the pay rate for the hours over 40 is 1.5 times the regular hourly rate.

Use two parallel arrays:

• a one-dimensional array to store the names of all the employees (Name)
• a two-dimensional array of 10 rows and 3 columns to store the number of hours an employee worked in a week (Hrs Worked), the hourly pay rate (Pay Rate), and the weekly pay (Salary).

Your program must contain at least the following functions:

• a function to read the data from the file into the arrays.
• a function to determine the weekly pay.
• a function to output each employee’s data.
• a function to output the average salary of all employees
• a function to output the names of all the employees whose pay is greater than or equal to the average weekly pay

A sample output is:

Name	Hrs Worked	Pay Rate	Salary
Johnson	60.00	12.50	875.00
Aniston	65.00	13.25	1026.88
Cooper	50.00	14.50	797.50
...	...	...	...

Average Salary: $947.88
Salary Greater than Avg:
Aniston Gupta Kennedy ...

1. You are asked to work as an astrobiologist in the distant future. On Neptune’s moon Triton, you find a species of terrifying and giant crustacean-like aliens that appear to live in completely isolated populations within the nitrogen ice valleys on the surface. As a famed xenobiologist that specializes in population genetics, you decide to compare and contrast two of these isolated populations. Specifically, you are interested in the locus terror​​, which comprises three alleles T1, T2, and T3.
   1. Using state of the art technology, you can immediately infer genotypes on the spot! Below are the genotype frequencies for the two populations. Your non-biologist teammate speculates that because genotypes containing T2 are so low in frequency in both populations, T2 must be deleterious - and thus will soon be selected out of the populations. Are they right? Why or why not?

genotype	T1T1	T1T2	T2T2	T1T3	T2T3	T3T3
pop. 1 individuals	42	5	5	88	10	67
pop. 2. individuals	150	10	20	450	50	800

2. Someone on a rival ship accidentally brings a small batch of hitchhiking aliens back to Earth. At least it’s not your fault! Unfortunately, they are reproducing, thus forming a newly isolated population that is terrorizing the planet. This new Earth population of aliens is genotyped, and you find that they entirely lack the allele T3. Is this founder Earth population more likely to originally be from Triton population 1 or 2? Please show your work.

3. Regardless of your answer to part B, your colleague suggests that if​ ​ the new Earth population originally came from Triton population 2, genetic drift is likely to play less of an effect because of its large original population size (refer to table in part A). Are they correct? Why or why not?

4. You notice that terror​ ​ experiences selection on Earth. Because the Earth population completely lacks allele T3, you can treat this population like a two allele locus, with genotypes and fitnesses listed below. What is the probability that T1 will fix or be lost due to drift alone? By contrast, what is the probability that T1 will fix or be lost due to selection alone? Please show your work.

genotype	T1T1	T1T2	T2T2
frequency	0.10	0.10	0.80
fitness	1	0.90	0.90

Write a program

that manages a list of patients for a medical office. Patients should be

represented as objects with the following data members:

•

name (string)

•

patient id # (string)

•

address (string)

•

height (integer; measured in inches)

•

weight (double)

•

date of birth (Date)

•

date of initial visit (Date)

•

date of last visit (Date)

The data member “patient id #” is defined to be a

key

. That is, no two patients can have

the same patient id #. In addition to the standard set of accessors for the above data

members, define the fol

lowing methods for class Patient.

•

standard set of accessors

•

get_age

method: to compute and returns a patient’s age in years (integer)

•

get_time_as_patient

method: to compute the number of years (integer) since

the patient’s initial visit. Note that this va

lue can be 0.

•

get_time_since_last_visit

method:

to compute the number of years (integer)

since the patient’s last visit. This value can be 0, too.

Your program will create a list of patient objects and provide the user with a menu of

choices for accessing

and manipulating the

data on that list. The list must be an object of

the class List that you will define.

Internally, the list object must maintain its list as a

singly linked list with two references, one for head and one for tail.

As usual, your Li

st

class will have the methods “

find,” “

size,” “contains

,” “remove,”

“add,”, “get,”

“getNext,”, “reset,” “toString

,”. At the start, your program should read in patient data

from a text file for an initial set of patients for the list. The name of this file

should be

included on the “command line” when the program is run.

(Don’t hard code

the file name)

Each data item for a patient will appear on a separate line in

the file.

Your program

should be menu-

driven, meaning that it will display a menu of options for the user. The

user will choose one of

these options, and your program will carry out the request. The

program will then display the same menu again and get another

choice from the user.

This interaction will go on until the user chooses QUIT, which should be the last of the

menu’s options. The

menu should look something like the following:

1.

Display list

2.

Add a new patient

3.

Show information for a patient

4.

Delete a patient

5.

Show average patient age

6.

Show information for the youngest patient

7.

Show notification l

ist

8.

Quit

Enter your choice:

Details of each option:

•

Option 1: Display (on the screen) the names and patient id #’s of all patients in

order starting from the first one. Display the

information for one patient per line;

something like: Susan

Smith, 017629

•

Option

2: Add a new patient to the

END

of the list.

All

information about the new

patient (including name, patient id #, etc.)

is to be requested (input) from the user

interactively. That is, you will need to ask for 14 pieces of data from the user.

You’ll, of course, need to create a new patient object to hold this data.

NOTE:

As mentioned above, the patient id # field is a

key

. So, if the user types in

a patient id # that happens to be the same as

an already existing patient’s, then

you should display an error message and cancel the operation. Therefore, it is

probably a

good idea to ask for the patient id # first and test it immediately (by

scanning the objects on the list).

•

Option

3: Display (in a neat format) all the information pertaining to the patien

t

whose patient id # is given by the user. Namely, display the following information:

o

name

o

patient id #

o

address

o

height (shown in feet and inches; for example, 5 ft, 10 in)

o

weight

o

age

o

number of years as a patient (display “less than one year” if 0)

o

number of years since last visit (display “less than one year” if 0)

o

Indication that patient is overdue for a visit

NOTE:

The last item is displayed only if it has been 3 or more years since

the patient’s last visit.

If the user inputs a patient id

# that does

not

exist, then the program should

display an error message and the operation should be canceled (with the menu

immediately being displayed again for another request).

•

Option

4: Delete the patient whose id # is given by the user. If the patient is not

on the

list, display an error message.

•

Option 5: Show the average age (to one decimal place) of the patients.

•

Option

6:

Display (in a neat format) all the information (same as operation 3)

about the youngest patient.

•

Option

7: Display the names (and patient id

#’s) of all patients who are overdue

for a visit. As noted above, “overdue” is

defined as 3 or more years since the last

visit.

•

Option 8: Quit the program.

NOTE:

When the user chooses to quit, you should ask if they would like to save

the patient information to a file. If so, then

you should prompt for the name of an

output (text) file, and then write the data pertaining to

all

patients to that file. The

output for each patient should be in the same format as in the input file. In this

way, your output fil

e can be used as input on

another run of your program. Make

certain to maintain the order of the patients in the output file as they appear on the

list. Be

careful not to overwrite your original input file (or any other file, for that

matter).

Note

:

Try to

implement the various menu options as separate methods (aside

from

“main”)

.

However:

DO NOT DEFINE such “option methods

” as part of the class

List.

Of course, the Java code that implements an option (whether it’s in the “main”

method or not) should def

initely use List’s methods

to help do its job.