STA301- Statistics and Probability Complete final term Paper 2009

FINALTERM  EXAMINATION

Fall 2009

STA301- Statistics and Probability (Session - 4)

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

 Mean deviation is always:

       ► Less than S.D

       ► Greater than S.D

       ► Greater or equal to S.D

       ► Less or equal to S.D

   

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

 The value of χ²can never be :

       ► Zero

       ► Less than 1

       ► Greater than 1

       ► Negative

   

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

 The mean of the F-distribution is:

       ►

       ►

       ►

       ►

   

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

 If X and Y are random variables, then is equal to:

       ►

       ►

       ►

       ►

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

 Evaluate: (9-4)!

       ► 362880

       ► 120

       ► 24

       ► 6

   

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

 Which formula represents the probability of the complement of event A:

       ► 1 + P (A)

       ► 1 - P (A)

       ► P (A)

       ► P (A) -1

   

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

 Ideally the width of confidence interval should be:

       ► 0

       ► 1

       ► 99

       ► 100

   

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

 If the sampling distribution of  is normal, the interval  includes:

       ► 99% of the sample means

       ► 99.73% of the sample means

       ► 98% of the sample means

       ► 95% of the sample means

   

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

 The probability distribution of a statistic is called the:

       ► Population distribution

       ► Frequency distribution

       ► Sampling distribution

       ► Sample distribution

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

 An estimator T is said to be unbiased estimator of  if

       ► E (T) =

       ► E (T) =T

       ► E (T) =0

       ► E (T) =1

   

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

 If the following is a probability distribution, then what is the value of 'a':

X	1                        2                       3
P(X)	0.1                     a                       0.1

       ► 0.6

       ► 0.8

       ► 0.2

       ► 0.4

   

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

 A discrete probability function f(x) is always:

       ► Non-negative

       ► Negative

       ► One

       ► Zero

   

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

 An expected value of a random variable is equal to:

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       ► Variance

       ► Mean

       ► Standard deviation

       ► Covariance

   

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

 The __________:

       ►

       ►

       ►

       ►

   

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

 The area under a normal curve between 0 and -1.75 is

       ► .0401

       ► .5500

       ► .4599

       ► .9599

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

 The continuity correction factor is used when:

       ► The sample size is at least 5

       ► Both nP and n (1-P) are at least 30

       ► A continuous distribution is used to approximate a discrete distribution

       ► The standard normal distribution is applied

   

Question No: 17    ( Marks: 1 )    - Please choose one

 Which of the following is impossible in sampling:

       ► Destructive tests

       ► Heterogeneous

       ► To make voters list

       ► None of these

   

Question No: 18    ( Marks: 1 )    - Please choose one

 Which of the following is a systematic arrangement of data into rows and columns?

       ► Classification

       ► Tabulation

       ► Bar chart

       ► Component bar chart

   

Question No: 19    ( Marks: 1 )    - Please choose one

 Which one of the following statements is true regarding a sample?

       ► It is a part of population

       ► It must contain at least five observations

       ► It refers to descriptive statistics

       ► It produces True value

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Question No: 20    ( Marks: 1 )    - Please choose one

 The data for an ogive is found in which distribution?

       ► A relative frequency distribution

       ► A frequency distribution

       ► A joint frequency distribution

       ► A cumulative frequency distribution

   

Question No: 21    ( Marks: 1 )

 Write down the formula for binomial distribution.

    Ans:

Question No: 22    ( Marks: 2 )

 Write down the formula for testing the equality of two population proportions.

   

Question No: 23    ( Marks: 3 )

 Define moment ratios. In which unit they are expressed?

   

Question No: 24    ( Marks: 3 )

 Elaborate the Poisson distribution:

   

Question No: 25    ( Marks: 3 )

 Explain the symmetrical form of the Normal distribution.

Question No: 26    ( Marks: 3 )

 Elaborate the Least Significant Difference (LSD) Test.

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Question No: 27    ( Marks: 5 )

 The experiment of a house-agent indicates that he can provide suitable accommodation for 75 percent of the client who come to him. If on a particular occasion, 6 client approaches to him independently, calculate the probability that less than 4 clients will get a satisfactory accommodation.

   

Question No: 28    ( Marks: 5 )

 Why we use confidence interval?

Question No: 29    ( Marks: 5 )

 Write down short note on chi- square test of independence.

   

Question No: 30    ( Marks: 10 )

 Draw all possible sample of two letters each without replacement from the letters of the word “STATISTICS”. Find proportion of latter “S” in each sample.

   

Question No: 31    ( Marks: 10 )

 A random variable X has the following probability distribution:

X	P(X)
-2	0.1
-1	k
0	0.2
1	2k
2	0.3
3	3k

Find K and P(X<2).

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