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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
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
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
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
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
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
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
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
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%
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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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
so yolr will have
Jusfrreffiitau^l
I\4A1HA\b
rebffqatl
Assignment zA
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 r
JuSlfif
^ ^ ,
1ry6aiiL
i?n \1,*r:i?
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tri,*,:rf,ii
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-
Chapter 13
Simple Linear Regression
Section 13.1
13.1
13.3
13.5
13.7
178
A regression model that includes only two
variables, one independent and one
dependent, is called a simple regression
model. The dependent variable is the one
being explained, and th
Chapter 10
Estimation and Hypothesis Testing: Two
Populations
Note that answers may vary slightly due to rounding.
x1 x2 =
Section 10.1
10.1
10.3
Two samples are independent if they are
drawn from two different populations and
the elements of the two sam
Chapter Four
Probability
Section 4.1
4.1
An experiment is a process that, when
performed, results in one and only one of
many observations. An outcome is the
result of the performance of an experiment.
The collection of all outcomes for an
experiment is c
Chapter 9
Hypothesis Tests About the Mean and
Proportion
Section 9.1
9.1
a.
b.
c.
d.
e.
f.
g.
h.
The null hypothesis is a claim about a
population parameter that is assumed to
be true until it is declared false.
An alternative hypothesis is a claim
about
Chapter 3
Numerical Descriptive Measures
Median = value of the 4.5th term in ranked
data = (2 + 5)/2 = 3.50
This data set has no mode.
Section 3.1
3.1
3.3
For a data set with an odd number of
observations, first we rank the data set in
increasing (or decr
Chapter 8
Estimation of the Mean and Proportion
Section 8.1
8.1
An estimator is a sample statistic used to estimate a population parameter. The value(s) assigned to a
population parameter based on the value of a sample statistic is called an estimate.
Sec