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FINALTERM EXAMINATION
Fall 2009
MTH302- Business Mathematics & Statistics (Session - 2)
Ref No: 1303812
Time: 120 min
Marks: 80
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4/2/2010 12:00:00 AM
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Question No: 1 ( Marks: 1 ) - Please choose one
The rate of
change along the regression line is called
► Linear regression
► Non Linear regression
► Slope
► Curve
Question No: 2 ( Marks: 1 ) - Please choose one
A
relationship between variables that can be represented by a straight line
equation is
► Non linear regression model
► Non linear equation
► Simple linear regression
model
► Population regression model
Question No: 3 ( Marks: 1 ) - Please choose one
If the standard
deviation of a population is 9, the population variance is
► 3
► 9
► 21.35
► 81
Question No: 4 ( Marks: 1 ) - Please choose one
A college has 10
basketball players. A 5-member team and a captain will be selected out of these
10 players. How many different selections can be made?
► 1260
► 210
► 10C6 * 6!
► 10C5 * 6
Question No: 5 ( Marks: 1 ) - Please choose one
The measure of
how well the regression line fits the data is the:
► coefficient of determination
► slope of the regression line
► mean square error
► standard error of the regression
coefficient
Question No: 6 ( Marks: 1 ) - Please choose one
When there is no
linear correlation between two variables, what will the value of r be?
► -1
► +1
► 0
► a very small negative number
Question No: 7 ( Marks: 1 ) - Please choose one
What is
the probability of choosing a vowel from the alphabet?
► 21/26
► 5/26
► 1/21
► 2/21
Question No: 8 ( Marks: 1 ) - Please choose one
What is the
probability of scoring 11 when you roll two dice?
► 1/18
► 2/18
► 1/36
► 3/18
Question No: 9 ( Marks: 1 ) - Please choose one
Which is
incorrect?
► The mode is a measurement that records
value
► A bar graph is same as line graph
► A mean may cause distortions
► A circle graph is based on 360∞
Question No: 10 ( Marks: 1 ) - Please choose one
The variance is
► Found by dividing by N by the
mean.
► In the same units as the original
data.
► Found by squaring the standard
deviation
► Calculate by dividing the S.D. with
mean
Question No: 11 ( Marks: 1 ) - Please choose one
A scatter
diagram is a chart
► In which the independent variable is scaled
along the vertical axis.
► In which the dependent variable is scaled
along the horizontal axis.
►
That portrays the relationship between two variables.
►
Dependent and independent variables are always directly proportional
Question No: 12 ( Marks: 1 ) - Please choose one
How many words can be
formed by re-arranging the letters of the word ASCENT such that A and T occupy
the first and last position respectively?
► 5!
► 4!
► 6!
- 2!
► 6!
/ 2!
Question No: 13 ( Marks: 1 ) - Please choose one
Four dice are rolled
simultaneously. What is the number of possible outcomes in which at least one
of the die shows 6?
► 6! / 4!
► 625
► 671
► 1296
Question No: 14 ( Marks: 1 ) - Please choose one
Evaluate 
► n
► one
► Zero
► 
Question No: 15 ( Marks: 1 ) - Please choose one
Twelve
randomly-chosen students were asked how many times they had missed class during
a certain semester, with this result: 2, 1, 5, 1, 1, 3, 4, 3, 1, 1, 5, 18. For
this sample, which measure of central tendency is least representative of the
"typical" student?
► Mean
► Median
► Mode
► Midrange
Question No: 16 ( Marks: 1 ) - Please choose one
The median in an
even number of values is the ------------ of the two middle values.
► quartile
► mode
► average
Question No: 17 ( Marks: 1 ) - Please choose one
If the regression equation is equal to
23.6 - 54.2X, then 23.6 is the _________ while -54.2 is the ________ of the
regression line.
► slope,
intercept
► intercept,
slope
► slope,
regression coefficient
► radius,
intercept
Question No: 18 ( Marks: 1 ) - Please choose one
If A and B are
two mutually exclusive events, then
► 
► 
► 
► 
Question No: 19 ( Marks: 1 ) - Please choose one
Principal remains
constant through out the agreement period in:
► Compound interest
► Annuity
► Simple interest
► Nominal interest
Question No: 20 ( Marks: 1 ) - Please choose one
The mode of the
words in the word CORRELATION is
► L
► R
► O
► Both R and O
Question No: 21 ( Marks: 1 ) - Please choose one
The minimum number of
points required to calculate the intercept of a straight line is/are
► one
► two
► three
► one or theree
Question No: 22 ( Marks: 1 ) - Please choose one
3x2 + 5x – 7 is
--------------- expression.
► Monomial
► Binomial
► Trinomial
► Linear
Question No: 23 ( Marks: 1 ) - Please choose one
, then AB is --------------------------
º 
º 
º 
º 
Question No: 24 ( Marks: 1 ) - Please choose one
Amount of
discount is obtained as
º Percentage of Discount x List
Price
? Percentage of Discount / List Price
? Percentage of Discount - List Price
? None of these
Question No: 25 ( Marks: 1 ) - Please choose one
…….. Arithmetic operations provide the
foundation for all mathematical operations are:
► 4
► 5
► 3
► 6
Question No: 26 ( Marks: 1 ) - Please choose one
If an asset is
purchased at Rs 3000 on the date 6/29/2008 and the first depreication period
ends on 11/29/2008, where salvage value is 300 and period is taken as 1 on 20% interest rate where basis =1, then which
of the following function Returns the depreciation for given accounting period
? =AMORLINC(3000, 6/29/2008, 11/29/2008,
300, 1*12, 20%, 1)
? =AMORLINC(3000, 6/29/2008, 11/29/2008,
300, 1, 20% / 12 , 1)
? =AMORLINC(3000, 6/29/2008, 11/29/2008,
300, 1, 20%, 1)
? =AMORLINC(3000, 6/29/2008, 11/29/2008,
300, 1*12 , 20%/12, 1)
? None of these
Question No: 27 ( Marks: 1 ) - Please choose one
To add two cells (A1 and A2) together you use the following formula
► =A1 + A2
► =Add(A1+A2)
► =together(A1:A2)
► A1 plus A2
Question No: 28 ( Marks: 1 ) - Please choose one
Number of 5
permutations of 5 different objects taken 5 at a time is......
► 5!
► 6!
► 0!
► 4!
Question No: 29 ( Marks: 1 ) - Please choose one
For any event if
the probability of success is x,
then the probability of failure
is
► also x
► 1 + x
► 1 – x
► x - 1
Question No: 30 ( Marks: 1 ) - Please choose one
is
used to calculate -----------------------
► Normal
Distribution
► Binomial
Distribution
► Poisson
Distribution
► Cumulative
Poisson Distribution
Question No: 31 ( Marks: 1 ) - Please choose one
The Excel
function =POISSON (2, 5, True) is used to calculate
------------------------
► Normal Distribution
► Binomial Distribution
► Poisson Distribution
► Cumulative Poisson Distribution
Question No: 32 ( Marks: 1 ) - Please choose one
Which of the
following is the correct syntax for calculating average of the data
1,2,3,4,5,6,7
► =AVERAGE(1,2,3,4,5,6,7)
► =AVERAGE(1+2+3+4+5+6+7)
► =AVERAGE(1,2,3,4,5,6,7)/2
► =AVERAGE(1+2+3+4+5+6+7)/2
Question No: 33 ( Marks: 1 ) - Please choose one
Geographical data
deals with....
º Religion
? Height
º Income
? Regions
Question No: 34 ( Marks: 1 ) - Please choose one
Given a matrix A
such that 
Then A-1 will be
► 
► 
► 
► None of these
Question No: 35 ( Marks: 1 ) - Please choose one
A Linear Programming
model seeks to ……………………a linear function, subject to a set of linear
constraints.
► maximize
► minimize
► maximize
or minimize
► utilize
Question No: 36 ( Marks: 1 ) - Please choose one
percentage of ratio of given number with
standard numbe is.......
► 100
► Same number
► 1000
► 10
Question No: 37 ( Marks: 1 ) - Please choose one
Net income can be
calculated by using
► Net income = Number of units sale
above break even point * Price per unit
► Net income = Total number of units
sold * Price per unit
► Net income = Number of units sale
above break even point * contribution margin per unit
► Net income = Total number of units
sold * contribution margin per unit.
Question No: 38 ( Marks: 1 ) - Please choose one
Ogive of a
statistical data can be drawn by
►
a) using the cumulative frequency of the distribution
► b) frequency of the distribution
► c) both (a) & (b)
► d) None of these.
Question No: 39 ( Marks: 1 ) - Please choose one
Trends =……
► Expected + seasonal
► Expected - seasonal
► Expected * seasonal
► Expected / seasonal
Question No: 40 ( Marks: 1 ) - Please choose one
The
formula for Poisson Distribution is -------------------------------
► 
► b*(x; r, P) = x-1Cr-1
* Pr * (1 - P)x - r
► 
► None of the above.
Question No: 41 ( Marks: 2 )
Given for a
distribution of lengths of 200 metal bars
the variance =2.271 and mean is 33.9. Find coefficient of variation.
Question No: 42 ( Marks: 2 )
Write down two
application of Linear Programming
Question No: 43 ( Marks: 2 )
What are the
disadvantages for the so larger & so smaller values of smoothing constants
in forecast analysis?
Question No: 44 ( Marks: 3 )
Find the
value of Covariance Cov(X, Y) if var(X) = 81, var(Y) =16 and correlation
coefficient r=0.4?
Question No: 45 ( Marks: 3 )
In a school, 50%
students study science subjects and 30% of them study biology. What is the
probability that the student studies Biology?
Question No: 46 ( Marks: 3 )
In linear
programming, what is meant by feasible region?
Question No: 47 ( Marks: 5 )
A student
goes to the library. The probability that she checks out (a) a work of fiction
is 0.40, (b) a work of non-fiction is 0.30, , and (c) both fiction and
non-fiction is 0.20. What is the probability that the student checks out a work
of fiction, non-fiction, or both?
Question No: 48 ( Marks: 5 )
Calculate the mean,
median and mode for the following set of data
2,2,1,4,4,8,5, 6, 8,
19, 2, 1, 6, 25
Mean :
6.64 (14)
Median:
Mode : 13
Question No: 49 ( Marks: 5 )
The ages of 5
students in a population are 12, 16, 10, 14 and 13. Considering all possible
samples of size two which can be drawn with replacement from this population,
find
a) The
mean age.
b) The standard deviation of the students.
Question No: 50 ( Marks: 10 )
Find all the
quartiles for the following data set:
4.3, 5.1,
3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1,
4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5,
4.4
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