# Complete 4 Worksheet Assignments for INTRODUCTION TO STATISTICS

IMPORTANT!!!! YOU MUST HAVE A SCANNER IN ORDER TO COMPLETE THIS QUESTION.You can view the 4 worksheets attached for the Intro to Statistics CourseYou will need to PRINT out each worksheet!!!YOU HAVE TO WRITE AND SHOW YOUR WORK FOR EACH QUESTION ON THE WORKSHEET….NO PICTURESYOU WILL HAVE TO SCAN THE WORKSHEET BACK INTO THE COMPUTER AND SUBMIT A PDF FILE TO ME OF EACH COMPLETED WORKSHEETNOOOOOO, IT CANNOT BE A PICTURE OF THE WORKSHEET, IT HAS TO BE SCANNED BACK INTO THE COMPUTER AS A PDF!!!I NEED AN A ON ALL OF THESE SO PLEASE ONLY BID IF YOU ARE A STATISTICS WIZ!!!
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DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
MATH 2411- INTRODUCTION TO STATISTICS TEST 3 SUMMER 2018
DUE DATE: JUNE 24, 2018
NAME:__Danielle Brown___________________________RamID:____900356044___________
Attempt all questions. Show all your work in the space provided. Good luck.
1. Define the following as related to probability with examples:
(i)
A probability experiment.
(ii)
An outcome.
(iii) A sample space.
(iv)
An event.
(v)
Equally likely events.
(vi)
Independent events.
1
2
2. A bag contains nine red balls, eight white balls, and ten green balls. Suppose two
balls are drawn without replacement.
(a) Draw a tree diagram and present a complete enumeration for the sample space.
(b) Find the probability that:
(i)
All the balls are white.
(ii)
The two balls have distinct colors.
(iii)
At least one ball is red.
(iii)
The two balls are all white or all green.
(iv)
None of the balls is green.
3
3. Generate the sample space obtained by rolling two dice (present this in a tabular
form).
Determine the following:
(a) The probability of obtaining a sum that equals 6.
(b) The probability of obtaining a sum that equal 8.
(c) Probability of obtaining a sum that equals 10 or 11.
(d) The probability of obtaining a sum that equals 9 12 .
4
4(a). A circuit to run a model railroad has 39 switches and 11 are defective. If a person
selects two switches at random and tests them, find the probability that the second one is
defective, given that the first one is defective.
4(b). A flashlight has 43 batteries, 7 of which are defective. If two are selected at random
without replacement, find the probability that both are defective.
5
5.(a) A committee of 8 is to be selected from a 16 men and 12 women. If the committee
has 3 men and five women as members, in how many ways can this be achieved?
(You need not simplify)
5(b) How many different 6-digit identification tags can be made if the digits can be used
more than once? If the first digit must be 9 and repetitions are not allowed?
5 Â©. How many different permutations of the word GONZAGAUNIVERSITY are
there?
6
6. Given the following distribution, perform a Stem and Leaf plot for this data.
65
42
9
28
33
18
12
82
54
90
18
25
6
4
95
77
94
71
34
56
51
41
25
51
87
33
67
53
88
61
72
46
45
61
67
49
79
52
97
77
56
67
43
81
34
10
45
58
94
73
17
74
91
98
8
43
29
19
82
12
22
16
Bonus Question
7. A coin is tossed four times, a die is rolled three times, and three cards are taken from
a pack of 52 cards without replacement. In how many possible ways can this be done?
(You need not expand.
7
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
MATH 2411- INTRODUCTION TO STATISTICS TEST 4 SUMMER 2018
DUE DATE: JULY 6, 2018
NAME:___Danielle Brown__________________RamID:_900356044________________
Attempt all questions. Answer all the questions in the space provided. Good luck.
1. Determine whether each of the following distributions represents a probability
distribution. If not, state why.
(i)
X
P(X)
20
1.1
30
0.2
40
0.9
50
0.3
(ii)
X
P(X)
1
1
8
3
1
8
5
3
8
1
7
2
8
9
1
8
2. A couple plans to have three children. Assume that one child is born at a time. Let
the random variable X be the number of girls.
(i)
Draw a tree diagram and enumerate all the possible outcomes.
(ii)
Construct the probability distribution for the family of four children.
(ii)
Compute the mean, variance, and standard deviation for this distribution.
2
3. The following distribution shows the number of students enrolled in five English
courses at a local university.
Number of Students
Probability P(X)
28
0.22
35
0.16
41
0.15
43
0.27
(a) Find the mean, variance, and standard deviation for the distribution.
(b) Find the expectation of the enrollment in English classes.
3
48
0.20
4. Zentos Associates Market research found out that 29% of Europeans do not think
having a college education is important to succeed in the business world. If a random
sample of seven Europeans is selected, find these probabilities.
(a)
More than four people will agree with that statement.
(b)
At most three people will agree with that statement.
(c)
At least two people will agree with that statement.
(d)
Nobody agrees with that statement.
(e)
Determine the mean and variance of this distribution.
4
5.(a) State four characteristics of a binomial experiment.
(b) What is a binomial distribution?
Â© Write the expression for the Binomial Distribution function
5
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
MATH 2411- BASIC STATISTICS TEST 1 SUMMER 2018
DUE DATE : JUNE 8, 2018
NAME: Danielle Brown
RamID 900356044 __
_______
Attempt all questions. Show all your work in the spaces provided. Good luck.
1. Define the following terms as related to statistics with examples.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
Data.
Quantitative variables.
Discrete variable.
Variable.
Probability
Random variable.
Population.
Sample.
Random sample
1
2
2. Below is the list of Test I scores of 75 students in POLS 1111.
65
82
95
51
67
45
100
34
17
29
42
54
77
41
53
61
77
10
74
19
9
90
94
25
88
67
56
45
91
82
28
18
71
51
61
49
67
58
98
12
33
25
34
87
72
79
43
94
8
22
18
6
56
33
46
52
81
73
43
16
12
4
88
74
76
67
29
44
59
72
84
72
9
55
11
(a) Determine the range of the distribution.
(b) Using the class limits 1-10, 11-20, etc, Construction a frequency distribution
indicating the class limits, class boundaries, tally, frequency, and cumulative
frequency.
(c) Construct the histogram associated with this data.
(hint: Use the graph paper below to draw your graph).
3
4
3. Nurses on the sixth floor of a Community Hospital believe that they need more
nurses at night. To estimate the night workload, a random sample of 44 nights was
used. For each night, the total room calls to the nursesâ?? station on the sixth floor was
recorded as follows:
49
90
102
70
68
70
80
87
69
74
86
55
73
46
85
43
83
18
73
72
54
84
86
55
93
82
62
73
86
75
100
77
79
65
90
82
71
101
47
39
92
77
88
66
Using five classes of equal class width, construct a frequency distribution for this
data. (You must include class limits, class boundaries, tally frequency and cumulative
frequency columns as studied in the class).
5
4. 1300 students at Zambezi High School are distributed as follows:
Class
Freshmen
Sophomore
Junior
Senior
(i)
(ii)
(iii)
Number of students
392
337
335
236
Percentage
Complete the given table.
Construct a Bar graph for the data.
Construct a pie graph for this data.
6
Degrees
5. The data below represent of number of billions of bushels of corn produced in the
United States between 2007 and 2017.
Year
Bushels
(in
Billions)
2007
10.1
2008
11.8
2009
11
2010
10.5
2011
13
2012
12.1
2013
13.1
2014
12.5
2015 2017 2017
12.4 11.8 14
Draw a time series graph to represent this data. (Hint: Use two steps on the y-axis to
represent 1 billion bushels, and 3 units on the x-axis to present 1 year).
7
6. Below is a sample distribution of exam scores of 17 Calculus 2 students in Test 1 in
the fall of 2009:
65, 42, 77, 25, 11, 89, 92, 44, 54, 17, 65, 77, 14, 88, 65, 33,77.
(a) Find the range of the distribution.
(b) Find the mean, mode and median of the distribution.
8
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
MATH 2411- INTRODUCTION TO STATISTICS TEST 2
DUE: JUNE 10, 2018
NAME: Danielle Brown
RamID 900356044
.
Attempt all questions in the space provided. Please show all your work. Good luck.
1. The following is a distribution of examination scores of thirty Calculus I students:
65, 88, 81, 94, 97, 35, 13, 49, 67, 72, 74, 19, 66, 37, 56, 77, 79, 14, 29, 72, 77, 45, 77
97, 35, 79, 82, 55, 63, 91
(a) Computer the mean of this distribution.
(b) Determine the mode and the median.
(c) Compute the variance and standard deviation of the data.
(Assume that this is a population distribution).
1
2. The frequency distribution below represents the data obtained from a sample of 90
ATM machine service technicians. The values represent the days service calls for varying
ATM machines.
Class
boundaries
21.5 â?? 25.5
25.5 â?? 29.5
29.5 â?? 33.5
33.5 â?? 37.5
37.5 â?? 41.5
41.5 â?? 45.5
(a)
(b)
(c)
(d)
(e)
(f)
Frequency ( f )
Midpoint X m
f ï?? Xm
13
11
17
22
15
12
Complete the table.
Determine the mean.
Determine the modal class.
Find the median class.
Compute the median.
Find the variance and standard deviation of the distribution.
2
f ï?? X m2
3
3. An aptitude test has a mean of 245 and a standard deviation of 18. Find the
corresponding z â?? score for each examination score.
(i) 281
(ii) 227
(iii) 285
(iv) 222
(v) 255.
4. Given the following data: 54, 67, 32, 88, 178, 62, 15, 45, 19, 37, 11, 69, 49, 17, 72.
(i) Determine Q1 , Q2 , and Q3 .
(ii) Determine the interquartile range (IQR)
(iii) Computer the percentile ranks of 67, 88, and 49.
(iv) Determine an outlier if any.
4
5. Given the following data: 54, 67, 32, 88, 178, 62, 15, 45, 19, 37, 11, 69, 49, 17, 72
(i) Present the associated five-number summary.
(ii) Perform a Box Plot for the data.
5

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