FINALTERM EXAMINATION
Spring 2010
MTH302- Business Mathematics & Statistics
Ref No:
Time: 90 min
Marks: 60
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| Exam Date: | 12/08/2010 | |
| For Teacher's Use Only | |||||||||
| Q No. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | Total |
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| Q No. | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
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| Q No. | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
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| Q No. | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | |
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| Q No. | 33 | 34 | 35 | 36 | 37 | 38 | 39 | | |
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Question No: 1 ( Marks: 1 ) - Please choose one
As the regression line equation is y = ax + b, where a is
► The x-intercept
► The y-intercept
► The slope
► None of these
Question No: 2 ( Marks: 1 ) - Please choose one
The correlation used when there is a degree of association
► Between two variables
► Among three variables
► Among four variables
► None of these
Question No: 3 ( Marks: 1 ) - Please choose one
45% of what is 9?
► 20
► 40
► 30
► 10
Question No: 4 ( 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: 5 ( Marks: 1 ) - Please choose one
Evaluate 
► 60
► 30
► 40
► 50
Question No: 6 ( Marks: 1 ) - Please choose one
The equation of the regression line is 2y + 5x - 3 = 0. What will be the slope and intercept of the line?
► slope = -5, intercept = 3
► slope = 5, intercept = -3
► slope = -2.5, intercept = 1.5
► slope = 2.5, intercept = -1.5
Question No: 7 ( Marks: 1 ) - Please choose one
: In which Trust Fund, the company does not deduct, but only contribute 1/11th of Basic Salary of the employee per month?
► Provident Fund
► Gratuity Fund
► Charity Fund
► None of the above
Question No: 8 ( Marks: 1 ) - Please choose one
The midrange is not greatly affected by outliers
► False
► True
Question No: 9 ( Marks: 1 ) - Please choose one
In a symmetric distribution
► The mean, median, and mode are equal
► The mean is the largest measure of location
► The median is the largest measure of location
► The standard deviation is the largest value
Question No: 10 ( Marks: 1 ) - Please choose one
Which of the following is NOT a possible probability?
► 25/100
► 1.25
► 1
► 0
Question No: 11 ( Marks: 1 ) - Please choose one
The ----------- is an arithmetic average.
► mode
► mean
► median
► quartile
Question No: 12 ( Marks: 1 ) - Please choose one
The Standard Deviation of 60,60,80,70 is
► 9.29
► 8.29
► 7.29
► 6.29
Question No: 13 ( Marks: 1 ) - Please choose one
If Sale Price = Rs. 3810 and Original Price = Rs. 7270 then the Markdown Rate is equal to
► 47.59 %
► 45.57 %
► 43.53 %
► 48.9 %
Question No: 14 ( Marks: 1 ) - Please choose one
Umair’s greeting card business sells a card for Rs. 30. To make his desired profit, Umair needs a 35% Markup on Selling Price. What does a greeting card Cost Tanveer?
► Rs 9.5
► Rs 19.5
► Rs 29.5
► Rs 22.5
Question No: 15 ( Marks: 1 ) - Please choose one
Given Net price of shirt = $20 , Discount = 10% ,List price will
► $22
► $24
► $26
► $30
Question No: 16 ( Marks: 1 ) - Please choose one
If an operation A can be performed in m ways and B in n ways, then the two operations can be performed together in ------ways.
► m+n
► m-n
► m*n
► n/m
Question No: 17 ( Marks: 1 ) - Please choose one
Coefficient of variation shows dispersion of the
► standard deviation about mean.
► standard deviation about mode.
► variance about mean.
► variance about mode.
Question No: 18 ( Marks: 1 ) - Please choose one
----- ► 100
► 10000
► 0
► 1
Question No: 19 ( Marks: 1 ) - Please choose one
If
?
? ► Z
► t
► F
► 
Question No: 20 ( Marks: 1 ) - Please choose one
is used to calculate ----------------------- ► Normal Distribution
► Binomial Distribution
► Poisson Distribution
► Cumulative Poisson Distribution
Question No: 21 ( Marks: 1 ) - Please choose one
Which of the following is a continuous distribution?
► Binomial Distribution
► Poisson Distribution
► Normal Distribution
► Hypergeometric Distribution
Question No: 22 ( Marks: 1 ) - Please choose one
Chi-distribution is used to decide whether or not certain variables are
► Dependent
► Independent
► Discrete
► Continuous
Question No: 23 ( Marks: 1 ) - Please choose one
No Linear Programming problem with an unbounded feasible region has a solution.
► true
► false
► may or may not
► none of these
Question No: 24 ( Marks: 1 ) - Please choose one
Probability of a person's death in a year
► 1/365
► 0
► 1
► Undetermined
Question No: 25 ( Marks: 1 ) - Please choose one
Which of the following statements is true if a particular event has a probability of 10%.
► There is a one-in-ten chance it will happen.
There is a one-in-ten chance it will happen.
► It is not likely to happen.
► There is no one-in-ten chance it will happen.
► None of these.
Question No: 26 ( Marks: 1 ) - Please choose one
Which method of trend analysis is useful for data not having a pronounced trend or seasonality?
► multiplicative model
► decomposition model
► ratio-to-moving average method
► exponential smoothing method
Question No: 27 ( Marks: 1 ) - Please choose one
When a scalar k is multiplied with a matrix then
► It is multiplied with the row of the matrix
► It is multiplied with the column of the matrix
► It is multiplied with all elements of the matrix
► None of these
Question No: 28 ( Marks: 1 ) - Please choose one
If a speed of a car is changed from 25km/h to 40km/h then the percentage change in its speed is?
► 15%
► 50%
► 40%
► 60%
Question No: 29 ( Marks: 1 ) - Please choose one
Because only a subset of the entire population is sampled and used to estimate a finding for the entire population, we use
► alternative hypothesis
► standard error of percentage
► cofidence interval
► level of significance
Question No: 30 ( Marks: 1 ) - Please choose one
Variance is calculated by taking square root of-------------
► Mean
► Median
► Mode
► None
Question No: 31 ( Marks: 2 )
Suppose in a university there are 5 male and 3 female instructors for the subject of statistics then by using the sum rule of counting, in how many ways a student can choose the instructor of this subject?
Question No: 32 ( Marks: 2 )
Define Seasonal Variation.
Question No: 33 ( Marks: 2 )
Define Type-I error.
Question No: 34 ( Marks: 3 )
If you toss a die and observe the number of dots that appears on top face then write the event that an even number AND a number exceeding 3 occurs.
Question No: 35 ( Marks: 3 )
Determine two variable X and Y are correlated or uncorrelated by using the following table
| X | 0 | 4 |
| Y | 2 | 2 |
Question No: 36 ( Marks: 3 )
Find proportion of bags which have weight in excess of 505 g.
Mean = 500.
StDev = 2.5 g
(For z=2.00 probability is 0.4772)
Question No: 37 ( Marks: 5 )
Suppose the following table gives the percentage of the number of persons per household in the country for the given year
| No. of Persons | 1 | 2 | 3 | 4 | 5 or more |
| % of households | 20 | 30 | 18 | 15 | 17 |
Suppose a survey of 1000 households in a city for the year yielded the following data
| No. of Persons | 1 | 2 | 3 | 4 | 5 or more |
| No. of households | 270 | 210 | 200 | 100 | 220 |
Let Ho be the (Null) hypothesis that the distribution of people in households in the city is the same as the national distribution. Then find the value
valueQuestion No: 38 ( Marks: 5 )
If the variance of the Poisson distribution is 2, find the probabilities for X=0 and X=1
Question No: 39 ( Marks: 5 )
Find the standard deviation of 4, 9, 11, 12, 17, 5, 8, 12, 14
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