FINALTERM EXAMINATION
Spring 2010
MTH302- Business Mathematics & Statistics (Session - 4)
Ref No:
Time: 90 min
Marks: 60
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| Center: | OPKST |
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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
If the standard deviation of a population is 9, the population variance is ► 3
► 9
► 21.35
► 81
Question No: 2 ( 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: 3 ( Marks: 1 ) - Please choose one
Aalia received 2 A's and 2 B's in her college courses. What is her grade point average? Assume each course is 3 credits. A = 4, B = 3, C = 2, D = 1 ► 3.0
► 3.2
► 3.3
► 3.5
Question No: 4 ( Marks: 1 ) - Please choose one
The sample coefficient of correlation ► Has the same sign as the slope, i.e. b
► Can range from -1.00 up to 2.00
► Is also called Peterson's r.
► Can range from -3.00 up to 2.00
Question No: 5 ( Marks: 1 ) - Please choose one
A distribution that has a great many values clustered to the left and then tails off to the right is said to be ► negatively skewed
► positively skewed
► mean
► median
Question No: 6 ( Marks: 1 ) - Please choose one
Evaluate 
► 
► 
► 
► 
Question No: 7 ( Marks: 1 ) - Please choose one
Which of the following is not a measure of central tendency? ► percentile
► quartile
► standard deviation
► mode
Question No: 8 ( Marks: 1 ) - Please choose one
If Sxy = -3.27, Sx = 2.416 and r = -0.091, then Standard deviation of Y is ► 15.88
► 14.87
► 13.86
► 12.85
Question No: 9 ( Marks: 1 ) - Please choose one
The moving averages of the Prices 30,45,90,110 are ► 60, 85.45
► 45, 88.36
► 55, 81.67
► 65, 78.45
Question No: 10 ( Marks: 1 ) - Please choose one
The price at which a business purchases merchandise is called the ► List
► Cost
► Investment
► Exchange rate
Question No: 11 ( Marks: 1 ) - Please choose one
Discounts that are deducted one after the other from the list price are called _____ . ► Series trade discount
► Inconsequential trade discounts
► Spontaneous trade discounts
► Earned trade discounts
Question No: 12 ( Marks: 1 ) - Please choose one
If the salary of an employee is 10,000 and his allowances are 5,000 then what is the taxable income of the employee? ► 5,000
► 10,000
► Zero
► 15,000
Question No: 13 ( Marks: 1 ) - Please choose one
Contribution Margin is the Rs. amount that is equal to ----------------------
► S – VC
► VC – S
► FC – VC
► VC – FC
Question No: 14 ( Marks: 1 ) - Please choose one
Ogives at different values determine ► limits .
► frequencies.
► cumulative frequencies.
► both (2) & (3).
Question No: 15 ( Marks: 1 ) - Please choose one
n! = ……… ► n (n+1) (n-2)!
► n (n-1) (n-2)!
► n (n+1) (n+2)!
► n (n-1) (n+2)!
Question No: 16 ( Marks: 1 ) - Please choose one
Expected = ……. ► Trend - Seasonal
► Trend + Seasonal
► Trend * Seasonal
► Trend / Seasonal
Question No: 17 ( Marks: 1 ) - Please choose one
If
? ► Z
► t
► F
► 
Question No: 18 ( 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: 19 ( Marks: 1 ) - Please choose one
For the set of data 2, 1, 3, 1, 4, 5, 2, 6, 8 the median is given by ► 4
► 1
► 2
► 3
Question No: 20 ( Marks: 1 ) - Please choose one
For two tail test, when 
the value of Z is ► 
1.96
1.96 ► 1.645
1.645 ► 2.326
2.326 ► None of these
Question No: 21 ( Marks: 1 ) - Please choose one
Which is the no when it multiply by 57 answer will be 1? ► 1/57
► -57
► 1
► none
Question No: 22 ( Marks: 1 ) - Please choose one
Probability of a person's death in a year ► 1/365
► 0
► 1
► Undetermined
Question No: 23 ( Marks: 1 ) - Please choose one
If the population standard deviation is not known and the sample size is large(n>=30),then the Test statistic to be used is -------------
► (a) t-test
► (b) z-test
► both (a) and (b)
► none of these
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
The price at which investors buy or sell a share of stock at a given time is referred as ► Face value
► Market value
► Accumulated value
► Earning value
Question No: 26 ( Marks: 1 ) - Please choose one
In negative binomial distribution ► trials are independent
► trials are dependent
► probability of success is different on every trial
Question No: 27 ( 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: 28 ( Marks: 1 ) - Please choose one
The maximum value in an Ogive is always ► 100%.
► an upper class boundary.
► a discrete variable.
► All choices are true .
Question No: 29 ( Marks: 1 ) - Please choose one
The confidence interval is a range of values ► within which both the "true" and "false" value of the rate is expected to occur at same time
► within which the “false” value of the rate is expected to occur
► within which the “true” value of the rate is expected to occur
► None of these
Question No: 30 ( Marks: 1 ) - Please choose one
In a -------------distribution ,data is spread symmetrically about the mean. ► binomial
► normal
► poisson
Question No: 31 ( Marks: 2 )
What is the difference between these formulae? 1) 
2) 
Question No: 32 ( Marks: 2 )
Find the value of standard normal equation where mean is 0 and standard deviation is 1Question No: 33 ( Marks: 2 )
What will be y-intercept ‘b’ in the regression line Y=aX+b if Y = 9, X = 3 and a = 2 ?Solution:
9 = (2 x 3) + b
b = 9 – 6
b = 3 will be the Intercept
Question No: 34 ( Marks: 3 )
What are the differences between Normal distribution, Binomial Distribution and Poisson distribution?
Question No: 35 ( Marks: 3 )
Write the formula of seasonal variation.
Solution :
Seasonal variation is a component of a time series which is defined as the repetitive and predictable movement around the trend line in one year or less. It is detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.
Hence
Season variation = Actual – Trend
Question No: 36 ( Marks: 3 )
If the two sided 
confidence interval based on random sample taken from 
is 
Question No: 37 ( Marks: 5 )
Suppose a password consists of 4 charcters, the first 2 being the letters in the (English) alphabet and the last 2 being digits. Find the number n of:(a) passwords
(b) passwords beginning with a vowel.
Question No: 38 ( Marks: 5 )
Calculate the S.D of the following data2, 4, 4, 5, 10, 16, 17
Solution:
__
X is the mean which is 8.28
| X | __ X-X | __ (X-X)2 |
| 2 | -6.28 | 39.4384 |
| 4 | -4.28 | 18.3184 |
| 4 | -4.28 | 18.3184 |
| 5 | -3.28 | 10.7584 |
| 10 | 1.72 | 2.9584 |
| 16 | 7.72 | 59.5984 |
| 17 | 8.72 | 76.0384 |
| 58 | | 225.4288 |
N = 7
__
X = _58__ = 8.28
7
1/2
_ S.D = SUM (x-x)2
=========
n-1
1/2
|  |
225.42
======
6
= 6.12 is the answer
Question No: 39 ( Marks: 5 )
If X is a Poisson random variable with parameter
, find the probabilities for x = 0, 1, 2 and x≥3. 
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