STA301- Statistics and Probability Complete Midterm Solved Paper

MIDTERM  EXAMINATION

Spring 2009

STA301- Statistics and Probability (Session - 6)

Time: 60 min

Marks: 38

Question No: 1    ( Marks: 1 )    - Please choose one

 For a positively skewed distribution m₃ will be:

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       ► Positive

       ► Negative

       ► Zero

       ►  1

Question No: 2    ( Marks: 1 )    - Please choose one

 When data is labeled to identify an attribute of element, the measurement scale is:

       ► Ordinal

       ► Interval           

       ► Nominal

       ► Ratio

   

Question No: 3    ( Marks: 1 )    - Please choose one

 Suppose the estimated equation is has been calculated for a set of data. What is slop of the line:

       ► 0

       ► 2

       ► -2

       ► 5

   

Question No: 4    ( Marks: 1 )    - Please choose one

 If P(B|A) = 0.25 and , then P(A) is:

 

       ► 0.05

       ► 0.80

       ► 0.95

       ► 0.75

   

Question No: 5    ( Marks: 1 )    - Please choose one

 Which branch of statistics deals with the techniques that are used to organize, summarize, and present the data:

       ► Advance statistics   

       ► Probability statistics

       ► Descriptive statistics

       ► Inferential statistics

   

Question No: 6    ( Marks: 1 )    - Please choose one

 In a sample of 800 students in a university, 160, or 20%, are Business majors.  Based on the above information, the school's paper reported that "20% of all the students at the university are Business majors."  This report is an example of :

       ► A sample

       ► A population

       ► Sstatistical inference

       ► Descriptive statistics

   

Question No: 7    ( Marks: 1 )    - Please choose one

     A set that contains all possible outcomes of a system is known as

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       ►   Finit

      ► Infinite Set

      ► Universal

      ► No of these

   

Question No: 8    ( Marks: 1 )    - Please choose one

 If X and Y are independent, then Var(X-Y) is equal to:

       ►

       ►

       ►

       ► Zero

   

Question No: 9    ( Marks: 1 )    - Please choose one

 Which of the following is the class frequency

       ► The number of observations in each class

       ► The difference between consecutive lower class limits

       ► Always contains at least 5 observations

       ► Usually a multiple of the lower limit of the first class

   

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Question No: 10    ( Marks: 1 )    - Please choose one

 How to construct the class interval:

       ► Divide the class frequencies in half

       ► Divide the class frequency by the number of observations

       ► Find the difference between consecutive lower class limits

       ► Count the number of observations in the class

   

Question No: 11    ( Marks: 1 )    - Please choose one

 Data in the Population Census Report is:

       ► Ungrouped data

       ► Secondary data

       ► Primary data

       ► Arrayed data

   

Question No: 12    ( Marks: 1 )    - Please choose one

What is the range of -2,-3,-5,-10 :

       ►  -12          

            ►    8

       ►   -8

            ►    2

Question No: 13    ( Marks: 1 )    - Please choose one

 The algebraic sum of deviations from mean is:

       ► Maximum

       ► Minimum

       ► Zero

       ► Undefined

   

Question No: 14    ( Marks: 1 )    - Please choose one

 The sum of squares of deviations from mean is:

       ► Undefined

       ► Zero

       ►  Maximum

       ► Minimum

  

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Question No: 15    ( Marks: 1 )    - Please choose one

Statistic is a numerical quantity, which is calculated from:

       ► Population

       ►  Sample

       ► Data

       ► Observations

   

Question No: 16    ( Marks: 1 )    - Please choose one

Which of the following is not based on all the observations?

       ► Arithmetic Mean

       ► Geometric Mean

       ► Harmonic mean

       ► Mode

   

Question No: 17    ( Marks: 1 )

 Elaborate the word dispersion

We can say that the degree of scatter of data, usually about an average value, can be the median. 

 

Question No: 18    ( Marks: 1 )

 Define population.

We can define population is the collection of individuals or objects having some common measurable characteristics.

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Question No: 19    ( Marks: 2 )

 What does mean by the independence of two events:

We can define independence of two events are statistically independent if the probability of their occurring jointly equals the product of their respective probabilities. Independence of two events also know as stochastic independence.

Question No: 20    ( Marks: 3 )

 The reciprocal of the values are               

0.012, 0.0235, 0.0135

Calculate Harmonic Mean

 Harmonic mean is 250.037

   

Question No: 21    ( Marks: 5 )

 The probability that a student passes mathematics is 2/3 and the probability that he passes English is 4/9. If the probability of passing at least one course is 4/5, what is the probability that he will pass both courses?

 

Answer:

Math=2/3

English=4/9

Least one passing probability= 4/5

Math + English         =2/3+4/9

=1.11

4/5+1.11

=1.911

   

Question No: 22    ( Marks: 10 )

 A pair of dice is thrown, then

1) Find the sample space for this experiment

Suppose if A and B is the pair of dice then lets try to find out how many result we can find

• A hit first
• B Hit first
• B hit Second
• A Hit Second
• Both Hit Equally
• Both didn't Hit

2) Determine the probability of getting the sum 8 on the dice

3) Find the probability of getting sum 7 or 11

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