Question
Question no. 1: In a group of 500 wage-earners, the weekly wages of 4% were under Rs.60 and those of 15% were under Rs.62.50. 15%
Question no. 1:
In a group of 500 wage-earners, the weekly wages of 4% were under Rs.60 and those of 15% were under
Rs.62.50. 15% of the workers earned Rs.95 and over, and 5% of them got Rs.100 and over.
The median and quartile wages were Rs.82.25, Rs.72.75, and Rs.90.50; the fourth and sixth decile wages
were Rs.78.75 and Rs.85.25 respectively.
Put the above information in the form of a frequency distribution. Construct a Histogram and estimate
the mean wage of the 500 wage-earners therefrom.
Question no. 2
(a) : How many odd numbers between 1000 and 9999 have distinct digits?
(b) : The probability that a vehicle entering the Luray Caverns has Canadian license plates is 0.12; the
probability that it is a camper is 0.28; and the probability that it is a camper with Canadian license plates
is 0.09. What is the probability that
(i) a camper entering the Luray Caverns has Canadian license plates?
(ii) a vehicle with Canadian license plates entering the Luray Caverns is a camper?
(iii) a vehicle entering the Luray Caverns does not have Canadian plates or is not a camper?
Question no. 3
(a) : The fourth mean moment of a symmetrical distribution is 243. What would be the value of the
standard deviation in order that the distribution may be mesokurtic?
(b) : In a certain distribution, the first four moments about the point 4 are -1.5, 17, -30 and 108.
Calculate b1 and b2 and state whether the distribution is leptokurtic or platykurtic?
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