FINALTERM EXAMINATION
Fall 2009
MTH302- Business Mathematics & Statistics (Session - 2)
GULSHAN ALI
Ref No: 1303812
Time: 120 min
Marks: 80
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
