FINALTERM EXAMINATION
Spring 2010
MTH302- Business Mathematics & Statistics
Time: 90 min
Marks: 60
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| 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
How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different? ► 16C7 * 7!
► 12C4 * 4C3 * 7!
► 12C3 * 4C4
► 12C4 * 4C3
Question No: 2 ( Marks: 1 ) - Please choose one
If the probability of an event happening is 
then the probability of it not happening is ► 4/3
► 3/4
► 2/3
► 1/3
Question No: 3 ( Marks: 1 ) - Please choose one
To avoid distortion of extreme values, a good indicator would be the ► Mean
► Median
► Weight-Mean
► Mode
Question No: 4 ( Marks: 1 ) - Please choose one
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters? ► 5^10
► 10^5
► 10P5
► 10C5
Question No: 5 ( Marks: 1 ) - Please choose one
The ……………is a relationship that describes the dependence of the expected value of the dependent random variable for a given value of the independent non random variable. ► Correlation
► Regression
► Positive correlation
► Hypothesis
Question No: 6 ( 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: 7 ( Marks: 1 ) - Please choose one
Probability of an event lies between ► 
► 
► 
► 
Question No: 8 ( Marks: 1 ) - Please choose one
What is 1st quartile of the following numbers? 39, 29.4, 17, 23
► 20.5
► 21.5
► 22.5
► 23.5
Question No: 9 ( Marks: 1 ) - Please choose one
If high or low numbers have a significant effect on a list of numbers, the ----------- may be better than the mean. ► mode
► median
► range
► quartile
Question No: 10 ( Marks: 1 ) - Please choose one
The correlation coefficient provides: ► a measure of the extent to which changes in one variable cause
changes in another variable.
► a measure of the strength of the linear association between two categorical
variables.
► a measure of the strength of the association (not necessarily linear)
between two categorical variables.
► a measure of the strength of the linear association between two quantitative
variables.
► a measure of the strength of the linear association between a quantitative
variable and a categorical variable.
Question No: 11 ( Marks: 1 ) - Please choose one
The RSQ of any data is ► Square root of correlation coefficient.
► Square of correlation coefficient.
► Correlation coefficient.
► Slope of the data.
Question No: 12 ( Marks: 1 ) - Please choose one
Prices are 100,110,120,130 and Moving averages are 110,120 Now Actual- Trend are
► 110, 120
► 0, 0
► 10, 20
► -10, 10
Question No: 13 ( Marks: 1 ) - Please choose one
There are 6 flags to give signal, now use 3 flags and guess the no. of arrangements ► 562
► 456
► 235
► 120
Question No: 14 ( Marks: 1 ) - Please choose one
The measure of the degree to which any two variables vary together is called ► Variance
► Correlation
► Mean Deviation
► Positive Variance
Question No: 15 ( Marks: 1 ) - Please choose one
To add numbers based on criteria stored in a separate range we use ► IF and SUM functions.
► DSUM function.
► AVERAGE function.
► all functions in above given choices.
Question No: 16 ( Marks: 1 ) - Please choose one
If the basic salary of an employee is 8, 000 Rs. allowances are 6000 Rs. and total cost of leaves per year is equal to 28280 Rs. then the cost of leaves as percent of gross salary is ► 29.46%
► 16.83%
► 22.23%
► 28.28%
Question No: 17 ( Marks: 1 ) - Please choose one
If C is the cost and S is the selling price of a certain item then the formula for its markup is given by ► (S-C)/S *100%
► (S-C)/C *100%
► (C-S)/S *100%
► (C-S)/C *100%
Question No: 18 ( Marks: 1 ) - Please choose one
Given FC = Rs.5000 ,CM= Rs. 30 ,VC= Rs. 150 , Capacity = 320units then BEP in units = ► 4500 units
► 167 units
► 33 units
► 16 units
Question No: 19 ( Marks: 1 ) - Please choose one
For any two non-disjoint events; A and B. P(
) = ► 
► 
► 
► 
Question No: 20 ( Marks: 1 ) - Please choose one
What do you deduce from the diagram of the Normal Distribution?
► Mean is greater than Standard deviation.
► Mean is lesser than Standard deviation.
► Mean is equal to Standard deviation.
► No result can be drawn.
Question No: 21 ( Marks: 1 ) - Please choose one
In the regression line Y = a + bX,where b is ► 
► 
► 
► 
Question No: 22 ( Marks: 1 ) - Please choose one
The value of c2 is always ------------------
► Positive
► Negative
►
► None of these
Question No: 23 ( Marks: 1 ) - Please choose one
Which of the following is a continuous distribution?►Binomial Distribution
►Poisson Distribution
►Normal Distribution
►Hypergeometric Distribution
Question No: 24 ( Marks: 1 ) - Please choose one
which of the given function returns the normal distribution for the specified mean and standard deviation.►NORMSDIST
►NORMDIST
►NORMSINV
►NORMINV
Question No: 25 ( Marks: 1 ) - Please choose one
A hypothesis specifying the population distribution is called ► composite hypothesis
► test statistic
► alternative hypothesis
► simple hypothesis
Question No: 26 ( Marks: 1 ) - Please choose one
The world is getting warmer — and U.S. scientists now know precisely how much warmer. They calculated the average percentage rise of 0.015% at the end of the century. If the current average temperature of the planet is X , what would be the average temperature of the earth at the end of 4008 AD? ► X(1+0.015)^2
► X(1+0.015%)^2
► 2(1+)^0.015
► X(1+X)0.015
Question No: 27 ( Marks: 1 ) - Please choose one
What will be the simple interest earned on an amount of Rs. 16,800 in 9 months at the rate of 
% p.a? ► Rs. 787.50
► Rs. 812.50
► Rs 860
► Rs. 887.50
Question No: 28 ( Marks: 1 ) - Please choose one
If there is a change of -30% in the price of an item, what does the negative sign show?
► The price is decreasing.
► The price has low rate of change.
► None of the above.
► The price is increasing.
Question No: 29 ( Marks: 1 ) - Please choose one
A -------------- shows by table, the number of times event(s) occurs. ► normal distribution
► poisson distribution
► frequency distribution
► binomial distribution
Question No: 30 ( Marks: 1 ) - Please choose one
A rule or formula that provides a basis for testing a null hypothesis is called ► population statistic
► confidence coefficient
► size of the test
► test statistic
Question No: 31 ( Marks: 2 )
When the slope b of the regression line Y = a + bX is minimum and maximum? Question No: 32 ( Marks: 2 )
Define Cumulative Poisson distribution.
Question No: 33 ( Marks: 2 )
Find the value of
, where 95% confidence interval is given.Question No: 34 ( Marks: 3 )
What is the purpose of Regression Analysis?Question No: 35 ( Marks: 3 )
Explain Poisson distribution.
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 )
Find the slope of the regression line Y=aX+b with the help of following data| X | 4 | 3 | 5 | 7 |
| Y | 7 | 8 | 9 | 12 |
Question No: 38 ( Marks: 5 )
A coin is tossed 10 times. What is the probability that exactly 6 heads will occur?
Question No: 39 ( Marks: 5 )
According to a survey, a certain city has a population of 100,000 people age 22 and over with standard deviation of 49. Of them 60% are married . If we draw a sample of 1600 people then find the chance that 58% or less of the people are married.0020
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