dse 2012

[SoniaKapoor]

QUESTION 17. The cumulative distribution function F(x) of a random
variable has a slope of 1 for x in the interval [0; 1] and takes a constant value
thereafter. Which of the following statements most accurately denes the
probability density function of X?
(a) It is zero in the interval [0; 1] and 1 for all higher values of x
(b) It is 1 in the interval [0; 1] and zero for all higher values of x
(c) It is increasing in the interval [0; 1] and constant and positive for all
higher values of x
(d) It is increasing in the interval [0; 1] and zero for all higher values of x


q 18 also....


QUESTION 36. An econometrician uses data from the Consumer Expen-
diture Survey conducted by the National Sample Survey Organization for the
years 1991 and 2001 and plots the cumulative distribution function for real
consumer expenditure per capita for these years. He nds that cumulative
distribution function for 2001 is everywhere to the right of that for 1991.
Consider the following,
Conclusion 1: The Gini coecient for 2001 is higher than for 1991
Conclusion 2: Consumption expenditure of every individual has increased in
2001 compared to 1991
Conclusion 3: Real consumption expenditure per capita has increased in 2001
compared to 1991
Which of the above conclusions are correct
(a) Only (iii) is correct
(b) (i) and (iii) are correct
(c) (ii) and (iii) are correct
(d) None of the conclusions is correct

[Granpa Simpson]

17) the slope of F(x) is the density function defined on the interval, since it has been told that the slope of F(x) is 1 in [0,1] it implies density function has a value 1 in the interval [0,1]..now since for higher values F(x) is constant it means density function is 0 (since F'(x)=0) for values greater than 1 hence option b is the correct answer..!!!

[mrittik]

36. real consumer expenditure...so real consumption expenditure per capita is granted for calculation...iii is correct