STATISTICS (2016)
SECTION-A
Marks: 17
Time allowed: 25 Minutes

NOTE: Section-A is compulsory. All parts of this section are to be answered on the question papa itself. It should be completed in the first 25 minutes and handed over to the Centre Superintendent Deleting/overwerwriting is not allowed. Do not use lead pencil.

1. Circle the correct option i.e. A.B.C.D. Each part carries one mark.

(A) Uncertainty
(B) Certainty
(C) Quality
(D) None of these 

(A) More than one
(B) More than two
(C) More than three
(D) None of these

(A) XY   
(B) E(X) + E(Y)
(C) E(X)E(Y)        
(D) E(X) - E(Y)

(A) P(X = x)        
(B) P(X ≤ x)
(C) P(X ≥ x)        
(D) None of these

(A) Table
(B) Graph
(C) Mathematical equation
(D) All of these

(A) zero               
(B) One
(C) E(x)
(D) f’(x)+1

(A) p and q         
(B) np and nq
(C) n and p         
(D) n and q

(A) Very large   
(B) Very small
(C) Indepencent
(D) Dependent

(A) 1     
(B) 0
(C) 10   
(D) 100

(A) 5     
(B) 1
(C) 
(D)

(A) Sample design
(B) Sampled population
(C) Target population
(D) Sampling frame

(A) Simple hypothesis
(B) composite hypothesis
(C) Alternate nypothesis
(D) Statistical hypothesis 

(A) 0 90
(B) 0 95
(C) 0.99
(D) 0 995

(A) 0
(B) +1
(C) -1   
(D) >0

(A) (C - 1)            
(B) (r - 1)(C - 1)
(C) (r - 1)             
(D) None of these

(A) Mainframe computers
(B) Supercomputers
(C) Minicomputers
(B) Personal computers

(A) Input unit
(B) Output unit
(C) Secondary storage
(D) Central processing unit

SECTION – B
(Marks 42)

2. Attempt any fourteen parts. All parts carry equal marks. (14 x 3 = 42) 

SECTION - C
Marks 26

Note: Attempt any two questions. All questions carry equal marks. (2 x 13 = 26)

Q. 3 (a) Three missiles are fired at a target. If the probabilities of hitting tee target are 0 4, 0 5 and 0 6 respectively and if the missiles are fired independently, what is the probability that at least two missiles hit the target?     (05)
(b) A committee of size 5 is to be selected at random from 3 women and 5 men Find the expected number of women on the committee Also find its standard deviation  (08)

Q. 4 (a) In a Normal distribution q=476 and (x)=16 2 Fin(D)     (06)
(i) The probability that a single observation will be large than 60
(ii) P10 and P80
(b) A finite population consists of 4 smokers denoted by S1, S2, S3, S4 and 2 non-smokers TV and N. Draw all possible random samples of size 2 without replacement from the population and calculate proportion of smokers 'P' in each sample write down the sampling distribution of P and find the following
(i)   up           
(ii)                       (07)       

Q. 5 (a) A sample of 400 has mean 6.0 inches. Can this be regarded as a simple random sample from a large population with means 6 2 inches and S D of 2.25 inches? (05)
(b) Find the value of chi-square for the following table.  (08)

 

A1

A2

A3

B1

215

325

60

B2

135

175

90

Are 'A' and B' independent at 1% level of significance?