Question 1The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy. CityHighLowConditionPopulation in thousandsBad Water6012pc200Bigfoot9570pc750Mortimer9457sh500Orderly7250pc300Pierce4420c45Sampson7552cl150 Is “Low” an element, variable, or observation?Provide the observation for Bad Water.Provide the range for the high temperatures.What type of variable is condition? Why? Question 2A student has completed 12 courses in the School of Arts and Sciences. Her grades in the courses are shown below.DDCFABFAAACB Develop a frequency distribution table for her grades. Remember that tables need titles…From the frequency distribution table, develop an appropriated titled and labeled bar chart for her grades.All the courses are three credits. Using a weighted mean, calculate the student's grade point average. A = 4.0; B= 3.0; C= 2.0; D =1.0; F = 0 Question 3The number of hours worked per week for a sample of ten students is shown below.StudentHours15239328410516626734838951032 Determine the mean, median, and mode.What is the range of the data for the hours worked?What is the standard deviation for the number of hours worked?Compare the range of hours to the standard deviation. Does the standard deviation support that the data is clumped together or spread apart? Justify your answer, and make sure the range vs. standard deviation is mentioned in this justification.Question 4 -GivenP(A) = 0.63; P(B) = 0.37; P(A∩B) = 0.03 What is the probability of Event B happening given that Event A already happened?What is the compliment of A?Are Events A and B mutually exclusive? Why or why not?Calculate P(A U B).Question 5 – binomial (The binomial table in the Week 3 Assignment may help)When a particular machine is functioning properly, 80% of the items produced are non-defective. If 18 items are examined, what is the probability that exactly 15 are non-defective? If 18 items are examined, what is the probability that exactly 2 are defective?If 18 items are examined, what is the probability that at least 14 are non-defective? Question 6 –The average starting salary of this year’s graduates of a large university (LU) is $60,000 with a standard deviation of $4,725. Furthermore, it is known that the starting salaries are normally distributed.What is the probability that a randomly selected LU graduate will have a starting salary of at least $53,000?Individuals with starting salaries of less than $50,000 receive a free class. What percentage of the graduates will receive the free class?What percent of graduates will have their salaries one standard deviation from the mean?List a salary that falls between 3 and 4 standard deviations above the mean. Question 7 – Show work.A simple random sample of computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes.ProgrammerWeekly IncomeA – Female$550B – Male$654C – Female$911D – Female$630E - Female$727F – Female$688G – Male$1000H - Male$892 If all the salaries were written on separate pieces of paper, and one was drawn at random, what is the probability that the one that was drawn would be over $800?If a programmer were selected at random to complete a project, what would the probability be that the programmer was female given that the weekly salary is over $850?If all the programmers’ names were written on separate pieces of paper, what is the probability that two female programmers names were drawn in a row? Assume the first name was not returned to the pile.Question 8 – Show work for 1-2.Students of a small university who eat lunch on campus spend an average of $5.25 a day at their cafeteria. The standard deviation of the expenditure is $0.85. The data is normally distributed.What is the z score of Frank who spent $6.00?What probability corresponds with Frank’s z score?Why was Frank’s z score positive? Why was his probability positive?Doria spent $2.00 on her lunch on Friday. Explain to her, in terms of standard deviation, why this is not a typical expenditure at this campus.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 1

The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.

City	High	Low	Condition	Population in thousands
Bad Water	60	12	pc	200
Bigfoot	95	70	pc	750
Mortimer	94	57	sh	500
Orderly	72	50	pc	300
Pierce	44	20	c	45
Sampson	75	52	cl	150

Is “Low” an element, variable, or observation?
Provide the observation for Bad Water.
Provide the range for the high temperatures.
What type of variable is condition? Why?

Question 2

A student has completed 12 courses in the School of Arts and Sciences. Her grades in the courses are shown below.

D	D	C	F
A	B	F	A
A	A	C	B

Develop a frequency distribution table for her grades. Remember that tables need titles…
From the frequency distribution table, develop an appropriated titled and labeled bar chart for her grades.
All the courses are three credits. Using a weighted mean, calculate the student's grade point average. A = 4.0; B= 3.0; C= 2.0; D =1.0; F = 0

Question 3

The number of hours worked per week for a sample of ten students is shown below.

Student	Hours
1	5
2	39
3	28
4	10
5	16
6	26
7	34
8	38
9	5
10	32

Determine the mean, median, and mode.
What is the range of the data for the hours worked?
What is the standard deviation for the number of hours worked?
Compare the range of hours to the standard deviation. Does the standard deviation support that the data is clumped together or spread apart? Justify your answer, and make sure the range vs. standard deviation is mentioned in this justification.

Question 4 -

Given

P(A) = 0.63; P(B) = 0.37; P(A∩B) = 0.03

What is the probability of Event B happening given that Event A already happened?
What is the compliment of A?
Are Events A and B mutually exclusive? Why or why not?
Calculate P(A U B).

Question 5 – binomial (The binomial table in the Week 3 Assignment may help)

When a particular machine is functioning properly, 80% of the items produced are non-defective.

If 18 items are examined, what is the probability that exactly 15 are non-defective?
If 18 items are examined, what is the probability that exactly 2 are defective?
If 18 items are examined, what is the probability that at least 14 are non-defective?

Question 6 –

The average starting salary of this year’s graduates of a large university (LU) is $60,000 with a standard deviation of $4,725. Furthermore, it is known that the starting salaries are normally distributed.

What is the probability that a randomly selected LU graduate will have a starting salary of at least $53,000?
Individuals with starting salaries of less than $50,000 receive a free class. What percentage of the graduates will receive the free class?
What percent of graduates will have their salaries one standard deviation from the mean?
List a salary that falls between 3 and 4 standard deviations above the mean.

Question 7 – Show work.

A simple random sample of computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes.

Programmer	Weekly Income
A – Female	$550
B – Male	$654
C – Female	$911
D – Female	$630
E - Female	$727
F – Female	$688
G – Male	$1000
H - Male	$892

If all the salaries were written on separate pieces of paper, and one was drawn at random, what is the probability that the one that was drawn would be over $800?
If a programmer were selected at random to complete a project, what would the probability be that the programmer was female given that the weekly salary is over $850?
If all the programmers’ names were written on separate pieces of paper, what is the probability that two female programmers names were drawn in a row? Assume the first name was not returned to the pile.

Question 8 – Show work for 1-2.

Students of a small university who eat lunch on campus spend an average of $5.25 a day at their cafeteria. The standard deviation of the expenditure is $0.85. The data is normally distributed.

What is the z score of Frank who spent $6.00?
What probability corresponds with Frank’s z score?
Why was Frank’s z score positive? Why was his probability positive?
Doria spent $2.00 on her lunch on Friday. Explain to her, in terms of standard deviation, why this is not a typical expenditure at this campus.

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