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Total Marks = 65
Please show all work in the space provi(
Question 1
A class of 50 students obtained the following grades in a statistics course:
A'5 B25 C15 D5
If one student is selected at random, What is the probability that
a. the stu
Assignment 1A
8 marks
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Introduction to Statistics
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Total Marks = 70
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Assignment 4A
Total Marks = 75
Please show all work in the space provided. Attach additional sheets if necessary.
/ Question 1
Grade point averages of math majors at a large distance education university are
normally distributed with a mean of ti, : 2.8
Assignment 3A
Total Marks = 70
Please show all your work. Some questions require you to use
graphs, tree diagrams, formulas, and so on that are difficult or
impossible to reproduce in word-processing programs, so you
will have to print the entire assignme
Assignment 1A 'r I I ’
8 marks
Introduction to Statistics
Total Marks = 70
Please show all your work. Some questions require you to use graphs, tree
diagrams, formulas, and so on that are difﬁcult or impossible to reproduce
in word-processing programs,
Assignment 1A
Total Marks = 70
Please show all your work. Some questions require you to use
graphs, tree diagrams, formulas, and so on that are difficult or
impossible to reproduce in word-processing programs, so you
will have to print the entire assignme
Assignment 2A
Total Marks = 65
Please show all your work. Some questions require you to use graphs, tree
diagrams, formulas, and so on that are difficult or impossible to reproduce
in word-processing programs, so you will have to print the entire
assignme
Assignment 6A
Statistics MATH215
Cheyenne Whittle
3221575
[Type the abstract of the document here. The abstract is typically a short summary of the contents of
the document. Type the abstract of the document here. The abstract is typically a short summary
Assignment 2A
Total Marks = 65
Please show all your work. Some questions require you to use
graphs, tree diagrams, formulas, and so on that are difficult or
impossible to reproduce in word-processing programs, so you
will have to print the entire assignme
Page 1 of 8
Study Guide
Unit 2 Probability
Unit 1 introduced the two fields of statisticsdescriptive and inferential statistics but focused on
descriptive statistics, which consists of the set of methods used to organize, display and describe data.
The fi
Page 1 of 2
Study Guide
Unit 2 Probability
Unit 2 Self Test
1. Based on recent political polls, the probability that a Canadian voter will vote Liberal in the next
election is 0.40. If three Canadian votersDarren, Ellen and Fredare phoned at random, find
I Assignment 2A
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Total Marks = 65
submit it through the appro '
material you are submitting is legible.
Question 1
If one student is selected at random, what is the probability that
1 mark a. the student obtained a B?
2 marks b. the student obtained ei
Assignment 2A
Statistics MATH215
Cheyenne Whittle
3221575
[Type the abstract of the document here. The abstract is typically a short summary of the contents of
the document. Type the abstract of the document here. The abstract is typically a short summary
ASSIGNMENT 2A SOLUTIONS
1. Given that,
n(D) = 5
n(A) = 5
n(B) = 25
n(C) = 15
n(S) = 50
a) P(Student obtained a B) =
n ( B)
=
n(S )
25
50
=
1
2
b) P(Student obtained either B or a C) = P(B) + P(C) =
n ( B) n (C )
+
n(S ) n( S)
25
50
=
15
50
+
=
40
50
=
1[
ASSIGNMENT 3A SOLUTIONS
1.
x
a) Given that P(x) = 0.5 ( 6 ), where x = 0, 1 or 2.
Below is the probability distribution of the variable x:
0
6
Where x = 0, P(x) = 0.5 (
) = 0.5 0 = 0.5
1
x = 1, P(x) = 0.5 ( 6 ) = 0.5 - 0.1667 = 0.3333
2
x = 2, P(x) = 0.5
Assignment 3A
Statistics MATH215
Cheyenne Whittle
3221575
[Type the abstract of the document here. The abstract is typically a short summary of the contents of
the document. Type the abstract of the document here. The abstract is typically a short summary
JuSlfif
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Assignment rA
Total Marks = 7o
Please shorr all \'onr lvorli. Some questions reqttire )'ou to rise graphs, tree
diagrams. fbrmuliis, and so on that are difficult or impossible to reprodttce
in rvorcl-
Assignment 4A
Statistics MATH215
Cheyenne Whittle
3221575
[Type the abstract of the document here. The abstract is typically a short summary of the contents of
the document. Type the abstract of the document here. The abstract is typically a short summary
4 marks b. Am the events F - Fireplace and G - Garage independent? Show your
pmof.
anal-ks c. mmem'enlsFandGmumallyexclusivc?Why?
b) P L m 35:me
pm a): PLQ
9(50I303zo .9225 up): echo: 0.00.
PCNVB = 9L6) PLeu): SOIIoozozo.
Pcem = P( a)
: 50180: 0333.
3.90%
Question 7
You are given the pmbnbilitiw listed below.
P(A)IIO.25
P(B)-o.3o
P(C)-o.55
P(AandC)-o.05
P(BandC)-o
P(B|A)-o.48
mum-ks a. AmAandBindependent events?Whyor whynot?
amnrks b. FindPCAandB).
alum-ks c. ndAorB).
anal-ks d. FindHAIB).
anal-ks e. Are
Question 3
An person has applied for positions at Company A. Company B. and
Company C. The probability of obtaining an offer from Company A is 0.4.
from Company B is 0.3, and from Company C is 0.6. Axumc that the three
job offers will be independent.
amnr
d. What is the probability that a randomly selected top salesperson will
sell
2 marks i. at least 1 automobile to a corporate client?
2 marks ii. at most 1 automobile to a corporate client?
1 mark iii. exactly 1 automobile to a corporate client?
C 0: W 32
Assignment 3A
Total Marks - 7o
Pleaseshowallyonrwork.Someqnestions nquheyoutousemphuee
diagrams, formulas. and so on that are difcult or impossible to reproduce
in word-processing programs. so you will have to print the entire
assignment and ll it out a
Questions
Tatsoomona univenityadmissionswstm normallydistributed,witha
mean of 500 and a standard deviation of too.
4 marks a. What is the probability that a randomly sdecwd applicant scone
between 425 and 575?
4 marks b. What is the probability that a
2 marks c. What is the probability that a randomly selected applicant seam less
than 500?
4mm d. Mtypcrwntoflmmmuaedwhatvuc?
C3 P bus-00)
z=mo~soo
:00
P (zIoyo .sooo
d) 9(17130-10
PLxL: we .10 =o.to
1 EA=7SOO *Lscorz for msoonzm
0' I00
135
7.0%) s (5
Question'
Itisestimated that.injulyniab,thejntywlmchd1ecomdocision
(guilty or not guilty) 92% ofthe time. In 200 randomly selected jury trials,
4mm 3. whntisthcprobabilitylhat thejurywlmchtheooneudedsioninat
leastnsofthetriab?
3 marks b. whm is the pmbabi
Questions
Seventy petcentof the studentbodyof a very large post-secondary
institutionisfemale. lnanndom sampled 12 students. whatisthe
probabilitytlut
anal-Ins a. atmosthalfwillbefemalu?
3mm 1). morethan7willbcfemala?
3mm c. ewerthnnswlbcmals?
OD P(fmu\23
Chapter 6
Continuous Random Variables and the
Normal Distribution
Section 6.1
6.1
The probability distribution of a discrete
random variable assigns probabilities to
points while that of a continuous random
variable assigns probabilities to intervals.
6.3
QueconG
smarts Inam-qofnoobminessueeumowoentmcandwpet
cent were female. Seventy perccntofthemalecmculivmuseda PDA
(petsonal digital assistant). Overall, 60 per cent of the maths used a
PDA. Construct a two-way classication table for the survey results.
Question 5
A machine used in a production process is set up correctly 97% ofthe time.
Given that the machine is set up correctly. only 5% of the items it producm
an: defective. while 95% are not defective. 0n the other hand. if the
machine is set up incon
Question 2
A realty company has 100 homes listed for sale. Some of those homes have
replaces, some have pages, and some have neither. A breakdown is
provided in the two-way classication table below.
a. Ifoneofthese loomissdectodat random.
lmalk i. whati
W4
A city council consists 017 males and 4 females. Two oouncilors are selected
at random to represent the city at an Elton John concert. What is the
probability that
2 marks a. both councilons ate male?
5 marks b. one oouncilor is a male and one a female
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