In a state with a total population Of 70,000 adults, 34, 000 are males and Out Of a total Of 5000 graduates, 700 are females. Out Of 1200 graduate employees or the state 200 are females. Is there any sex bias in education among people? The state holds that no distribution is made in appointments with respect of sex. How far this claim is substantiated by the data given above? (4)

Find the average rate of
a) motion in case of a person who rides the first mile at 10 mile/hour, the next mile at 8 mile/hour and the third mile at 6 mile/hour ; and
b) increase in population which in the first decade has increased 20%, in the second 25% and in the third 44%.

Two random variables have the regression lines

3x-2y = 26 and 6x+y = 31

i)

ii)

iii) Find the mean values Of x & y and rxy. Also find out the ratio of two variances. In particular is 4, what do you conclude about ? Also show that the regression estimate Of y for x — O is 13, where as the regression estimate Of x corresponding to y 13 is —3, Explain the cause of difference.

The first four moments of a distribution about the value 4 of the variable are –1.5, 17, –30 and 108. Find the moments about mean, 

Find also the moments about (i) the origin, and (ii) the point x = 2.