INTERMEDIATE PART-I (2013)
STATISTICS PAPER-I
TIME ALLOWED:20 Minutes
OBJECTIVE
MAXIMUM MARKS: 17
Note: You have four choices for each objactive type question as A, B, C and D. The choice which you think is correct, fill that circle in front of that question number, Use marker or pen to fill the circles. Cutting or filling two ur more circle will result will be zero mark in that question. Attempt is many questions as given in onjective type question paper and leave other blank. No credit will be awarded In case 'BUBBLES arc not filled, Do not solve question on this sheet of OBJECTIVE PAPER.

Question#1

• In a binomial experiment with three trials, the variable can take :
  
  (A) 2 values
  (B) 3 values
  (C) 4 values
  (D) 5 values
  
  
• The number of trial in binomial distribution is;
  
  (A) Not fixed
  (B) Fixed. 
  (C) Large
  (D) Small
  
  
• The Mean of the Hypergeometric distribution is:-
  
  (A)
  (B)
  (C)  
  (D)
  
  
• A numerical characteristic of a sample is called:
  
  (A) Statistic
  (B) Parameter
  (C) Variable
  (D) Sample
  
  The Relative Frequency multiplied by 100 is called :
  
  (A) Percentage frequency 
  (B) Cumulative frequency
  (C) Divariate frequency
  (D) Sample frequency
  
  
• A frequency polygon is closed figure which is:
  
  (A) One sided
  (B) Two sidul
  (C) Three sided 
  (D) Many sided
  
  
• The sum of deviation is zero when deviations are taken from :
  
  (A) Mean 
  (B) Median
  (C) Mode
  (D) G.M
  
  
• Which of the following average can be calculated from the observation,  2, 2, 4, 4, 6, 6, 8,10?
  
  (A) Mean
  (B) Mediam
  (C) Mode
  (D) All of these 
  
  
• If  =I 20 and  = 10 the coefficient of Quartile Deviation is:-
  
  (A)3
  (B) 1/3
  (C) 2/3
  (D) 1
  
  
• The value of Standard Deviation changes by change of:
  
  (A) Origin
  (B) Scale
  (C) Algebric sign
  (D) None
  
  
• In case of positively skewed distribution the extreme values lie in the:- 
  
  (A) Middle
  (B) Left tail 
  (C) Right tail
  (D) Anywhere
  
  
• When the price of a year is divided by the price of the proceeding year we get:-
  
  (A) Value Index
  (B) Link Relative
  (C) Simple Relative
  (D) None of these
  
  
• Paashe's Price Index Number is also callad:
  
  (A) Base year weighted
  (B) Current year weighted
  (C) Simple aggregative year
  (D) Consumer prize index
  
  
• The term 'event' is used for:
  
  (A) Time
  (B) Subset of the sample space
  (C) Probability
  (D) Total number of outcomes
  
  
• If two dice are rolled, the possible outcomes are:
  
  (A) 6
  (B) 36
  (C) 1
  (D) Difficult to tell
  
  
• The probability density function P (x ) cannot exceed
  
  (A) Zero
  (B) One
  (C) Mean
  (D) infinity
  
  
• If ƒ(x) = ,  X = 10 then E( x) is: 
  
  (A) Zero
  (B) 6/8
  (C) 1
  (D) -1

INTERMEDIATE PART-I
STATISTICS PAPER-1
TIME ALLOWED:3:10 Hours
SUBJECTIVE
MAXIMUM MARKS: 83
NOTE:Write same question number and its part number on answer book as given in the question paper.
SECTION-1

2.Attempt any eight parts. 16

• Defiine 'Statistics' in singular sense.
  
• What i s the difference between Constant and 'Variable?
  
• Why the averages are called measures of central tendency?
  
• What are the properties of A.M(any two)?
  
• Define "Harmonic Mean".
  
• Calculate Median from the given data : 88.03,  94.50,  94.90,  95.05,  84.60
  
• Define "Mode”
  
• Define Consumer Price1 Index. (C.P.I).
  
• If ∑ p_n. q0 = 600, ∑ p0. q0 =150,   Find Laspeyre Index Number,
  
• What is "Base Period'?
  
• What is Fixed Base Method?
  
• What are “Quantity Index Number”?

3. Attempt any eight part. 16

• What is an Array?
  
• What it a Pie Chart?
  
• What is meant. by Dispersion?
  
• Define Range for Grouped Data.
  
• What is Absolute Dispersion?
  
• Difine the term Skewness.
  
• lf series comprises of 50 values, each value equal to 5, then what will be the average and dispersion of the series'?
  
• Define Coefficient of Variation.
  
• Distinguish between Simple and Compound Events.
  
• Differentiate between Independent and Dependent Events.
  
• Define Sample Point.
  
• What is the range of Probability of an event?

4. Attempt any six parts. 12

• How random numbers can be generated.
  
• Give two examples of random variable.
  
• Define probability density function of a continuous random.
  
• Given
  

• If E(x)= 3 .E(y)= 2.5 find E(x+ y)
  
• Write down any two properties of Binomial Random Experiment.
  
• Define Binomial Random Variable
• .If N = 10  N-K = 4    n = 5 find variance of Hypergeometric distribution.
  
• What are the parameters of hypergeometric distribution?

SECTION-II
NOTE: Attempt any three questions.

Question#5
(a) Given the following data:       8, 10, 12, 18, 22, 30, 35 show that ∑ (X -  )= 0
(b) Find the geometric mean for the following frequency distribution:-

Question#6
(a) Find the coefficient of variation:

(b) Find coefficiant of Skewess by Bawley formula.

Question#7 

(a)    An inquiry into the Budget of families in a city is given below. Find Consumer      Index Number of 1929 where 1928 is base year,           

(b)     A bag contains 14 identical balls out of which 4 art red 5 back and 5 white bails. three balls arc drawn find probability that 
(i) 3 are red 
(ii) 2 are white

Question#8
(a) A continuous random variable 'x' that can assume values between x = 2 arid x = 5 has a density function given by  ʃ(x) =  (x + 1) Find 
(i) P(x < 4 ) 
(ii) (3 < x < 4 )
(b) A random variable 'x' has the following probability distribution

Find Mean and Standard Deviation of x .

Question#9
(a) Find Mean and S.D of (q + p )³
(b) A bag conetins 6 green and 4 red balls. Three are selected at random without replacement Compute the probability distribution of green balls.

SECTION-III
(PRACTICAL PART)

10. Attempt any three parts.
(A) Find ale vake of "Median" from the followin data:-

(B) Calculate first four moments for the following distribution. of wages about y = 10

(C)Compute Laspeyr s Price 'Index Number

(D)       A random variable x has a binomial distribution with E(x) = 2, and var (x ) = Find the parameters of the binomial distribution. Also find P (x = 2).
(E)       Five balls arc drawn from a box containing 4 white and 7 black balls. if x denoted the number of black balls drawn from the box, then obtain the probability distribution of x. Find the mean and variance of this distribution.