INTERMEDIATE (11TH CLASS-2014)
STATISTICS PAPER –I
GROUP-I
PART-I
TIME ALLOWED:30
MAXIMUM MARKS:20
OBJECTIVE
Note: You have four choices for each objective type question us 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 or more circles will mull in zero mark in that question. Attempt as many questions   as given in objective type question paper and leave others blank.

Q.No.1

• if,Then X and Y ARE --------:

A) Dependent
B) Independent
C) Baised
D) Unbaised

• The probability of the failure is equal to:

A) P
B) 1-q
C) p-1
D) 1-p

• If p=q = , the distribution is:

A) Symmetrical
B) Positively skewed
C) NEGATIVELY SKEWWD
D) Baised

• The number of failures in hypergeometric distribution is:

A) n
B) N
C) K
D) N-K

• Statistics deals with the facts which can be measured.

A) Numerically
B) Accurately
C) Preciously
D) Analytically

• The mid point of group 5.5-7.5 is

A) 6
B) 7
C) 7.5
D) 6.5

• In 60-70, the lower limit is:

A) 50
B) 55
C) 60
D) 70

• If n=7 and

A) 5.77
B) 5.87
C) 5.89
D) 5.97

• If x=0,2,2,4,8,10, then G.M is:

A) 4
B) 8
C) ZERO
D) 10

• First central moment is always:

A) Zero
B) 1
C) -12

• The S.D of 8,8,8,8,8 is:

A) 8
B) (8)2
C)
D) Zero

• If  then  could be:

A) 25
B) 18
C) 38
D) 20

• In a fixed base method which period is taken always 100:

A) Preceding
B) Following
C) Base
D) Current

• When all the commodities are not of equal importance ,the index numbers are called

A) Simple
B) Un-weighted
C) Weighted
D) Value

• 4P3 is equal to

A) 3!
B) 4!
C) 5!
D) 6!

• Two coins are tossed,the probabaility of two tails is equal to:

A)
B)
C)
D) 1

• The value of probability function can be:

A) 0.5
B) 1
C) Positive
D) Negative

INTERMEDIATE (11TH CLASS)
STATISTICS PAPER –I
GROUP-I
PART-I
TIME ALLOWED:2:40Hours
MAXIMUM MARKS:68
Subjective

NOTE:write same question number and its part number on answer book,as given in the question paper.

SECTION-I

2. Attempts any eight parts.                  8x2=16

• Differentiate between a Variable and a Random Variable.
• Define statistics in singular sense?
• Define harmonic mean and geometric mean.
• Given that Median for the data -2,5,0,-1,4,2.
• For a certain distribution : what is the value of mean  and why?
• Define Quartiles and percentiles.
• Define the index numbers.
• Differentiate between Fixed based method and chain based method.
• Enlist the main steps involved in the construction of index numbers.
• Differentiate between current year weighted and base year weighted index numbers.
• Write any two uses of index numbers.

3. Attempts any eight parts.                    8x2=16

• What is histogram?
• Explain prefatory notes and foot notes in a table.
• What is standard deviation?
• What is Sheppard’s correction?
• When the dist is lepto kurtic and platy kurtic?
• Compute range of the data -1,-3,-4,-10,-20.
• Given =180,= 6660 and n=5 .Find Varriance.
• If mean =25 and C.v =64% ,what will be the variance.
• What is the conditional probability?
• Draw the sample space when four coins are tossed?
• If P(A) =, P(A  and P(A∩B)=,find P(B).
• State  the multiplicative law of two independent events.

4. Attempts any six parts.

• What is random variable?
  
• Define Countinous Random Variable?
  
• Write down two properties of Expectations?
  E(X) 2 =400 AND Var(X) =144.Find E(X).
  
• Given the following probabaility distribution .Find k

• What is BermollI Trail?
  
• What is Binomial Experiment?
  
• Define hyper geometric probability distribution?
  
• IF N=8,P=  in binomial pprobabilty distribution ,then find mean and variance?
  

SECTION-II

NOTE:Attempt any three questions.

5.
(a) Find Geometric  Mean for the given data.

(b) Find median from the given dat:

6.
(a) The mean of 200 items  is8 and their S.D IS 3.Find the sum and sum of  squrares of all this.
(b) A manufacturer of two types of light bulb A nad B has the following results:
TypeA: =1495 hrs & SA = 280hrs
TypeA: =1895 hrs & SA = 310hrs
Which bulb has greater : (i) Absolute dispersion (ii) Relative dispersion

7.
(a) Find the chain indices from the following  price relatives:

(b) A and B can solve 70%  and 80% of  the  problems in a book respectively, find the chance that a problem chosen at random will be solved by at least one of them.

8.
(a) A countinous random variable ‘X’ has values between 0 and 4 has a density function given by f(x) =-ax , where ‘a’ is aconstant .
Find
(i) a  
(ii) P(1<x<2)

(b) if f(x) =3-x   where x=0,1,2,3,  find E(x) and E()

9.
(a) Workers have 20% chances of suffering from an occupational disease.
What is the probability out of 6 workers:
(i) Exactly two will suffer from the diease
(ii) At least 2 will suffer from the disease

(b) A committee of size 4 is to be selected at random from 3 women and 4 men .Find the probability that:
(i) 2 women
(ii) at least two women will be selected in the committee.