MTH302 current subjective and objective paper fall 2010 on 19-02-2011

Mth302

The life of a washing machine normally distributed, with a mean of 4 years and a standard deviation of 1.5 years. If this type of washing machine is guaranteed for 12 months. What percentage of the sale will require replacement?

If the the price of a computer is Rs. 15,000 and the series discounts are 15%,10%, 5%,then what will be the net price?

Find the centered average in the data below:
Quarter
Actual
Moving Average
Centered Average
1
102


2
71


3
47
79.5

4
98
85.25

1
125
94

2
106
100.5

3
73
133.75

4
231
172.75

1
281
203.5

2
229
237.5

3
209
301.75

4
488



Solve the equation: [IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]


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)


A 30 percent increase in a number would be 45. What is the original number?

Find the slope of the regression line [IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif[/IMG]

A local trade union consists of plumbers and electricians. Classified according to rank:

Apprentice Journeyman Master
------------------------------------
Plumbers 25 | 20 | 30 75
------------------------------------
Electricians 15 | 40 | 20 75
-------------------------------------
40 60 50
A member of the union is selected at random. Given that the
Person selected is a plumber, find the probability that he is a
Journeyman


Find the value of standard normal equation where mean is 0 and standard deviation is 1

An article is sold for Rs.990 causes 10% loss on the selling price, find its cost price.

Explain why –0.41 cannot be the probability of some event.


What is seasonal variation?


What will be the Rate if
Base = 20 and
Percentage = 27?

74 %
50.4 %
125 %
135%

The total Provident Fund added to the employee’s fund is ___________.
(1/11)th of Basic Salary
(2/11)th of Basic Salary
9.09 % of Basic Salary
9.99% of Basic Salary

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

If A and B are any two matrices of order [IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif[/IMG] and [IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif[/IMG] respectively and m>n and p<q. What must be the condition on m, n, p, q for the product AB to hold?

[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image012.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image014.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif[/IMG]
If C is the cost and S is the selling price of a certain item then the formula for percent markup on cost is given by ____________ .
(S-C)/S *100%
(S-C)/C *100%
(C-S)/S *100%
(C-S)/C *100%

If the mean, median and mode for a given data are equal, then the distribution of data is......
normal.
skewed to the right.
perfectly symmetric.
skewed to the left.

Markup is an amount added to a _____________while calculating a selling price.
Cost price
Bid price
Offer price
None of these

Measure of dispersion is of..............types.

2
3
4
5
While using Frequency function ,one have to select........

one cell more than data array.

one cell more than bins array .

at most 20 cells.

random number of cells.

Ogives at different values determine

(1) limits

(2) frequencies

(3) cumulative frequencies

(4) both (1) & (3)

If a profit ratio of A and B is 2:3, then what will be A’s share in profit?

2/5
2/3
3/2
3/5

If the cost of a cell phone increases from Rs 3000 to Rs 3900. What is the percentage increase?

23%
30%
45%
90%
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

The maximum value in an Ogive is always

100%.

an upper class boundary.

a discrete variable.

All choices are true .

The graph which uses circles to represent a set of data is called
Travel graph
Picture graph
Sector graph
Cumulative distribution
If you want to multiply a number 7 to matrix [IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image018.gif[/IMG] then the result is
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image020.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image022.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image024.gif[/IMG]
Number cannot be multiply to matrix

Trends =……

Expected + seasonal
Expected - seasonal
Expected * seasonal
Expected / seasonal

Two events A and B are called mutually exclusive if their

union is empty

union is non-empty

intersection is empty
intersection is non-empty
Is every Linear Programming has solution?

true
false
may or may not
none of these

The number of typos per page made by a secretary is an example of Poisson distribution.

True
False

Chi-distribution is used to decide whether or not certain variables are

Dependent
Independent
Discrete
Continuous

Which of the following is a continuous distribution?
Binomial Distribution
Poisson Distribution
Normal Distribution
Hypergeometric Distribution


The hypothesis which is tested for possible purpose of rejection is called

Simple Hypothesis
Composite Hypothesis
Null Hypothesis
Alternative Hypothesis

If [IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image026.gif[/IMG] is the slope of the regression line Y = a + bX
Where

[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif[/IMG] represents the angle between the line and the vertical axis

[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif[/IMG] represents the angle between the line and the horizontal axis
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif[/IMG] represents the angle between the line and the Z- axis
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif[/IMG] represents the angle between the curve and the y- axis


[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image030.gif[/IMG] is used to calculate -----------------------
Normal Distribution

Binomial Distribution
Poisson Distribution
Cumulative Poisson Distribution

What do you deduce from the diagram of the Normal Distribution?

[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image031.gif[/IMG]

Mean is greater than Standard deviation.

Mean is lesser than Standard deviation.
Mean is equal to Standard deviation.

No result can be drawn.

For any two non-disjoint events; A and B. P([IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image033.gif[/IMG]) =

[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image035.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image037.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image039.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image041.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image043.gif[/IMG]-----

100

10000

0

1
Seasonal variation = ….

Actual – trend
Actual + trend
Actual * trend
Actual / trend

Break Even point is a point at which neither a profit nor ----- is made.

Gain
Loss
Sale
cost
The value of x after solving the following linear equation is
-2x + 6 = 4x - 2

0
3
1/2
4/3
Syntax for the Poisson distribution is

POISSON(x, mean, cumulative)

POISSON(x, mode, cumulative)

POISSON(x, median, cumulative)

POISSON(x, y, mean, cumulative)


In which of the following form, can the probability be written?
fraction
decimal
percentage
All of these.
When high or low numbers do not significantly affect a list of numbers, the ---------- is a good indicator of where the center of the data occurs.


mean

median
mode
range
Probability of an event lies between

[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image045.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image047.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image049.gif[/IMG]
[IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image051.gif[/IMG]

Two dice are rolled and the numbers are added together. The probability of the total being 12 is [IMG]file:///G:/Users/rabnol/AppData/Local/Temp/msohtmlclip1/01/clip_image052.gif[/IMG]

True
False

What is the probability of scoring 11 when you roll two dice?
1/18

2/18

1/36

3/18


The moving averages can be used for -------------.

better graph
forecasting purposes
Middle value
Median
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

If all the points in the scatter diagram seem to lie near a line, the correlation is said to be

Quadratic

Linear
Positive

Negative





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