The correlation coefficient between x and (a – x) is –1.

An investigation of 23,713 households was made in an urban and rual mixed locality. Of these 1,618 were farmers, 2,015 well-to-do and 770 families were having at least one graduate. Of these graduate families 335 were those of farmers and 428 were well-to-do, also 587 well-to-do families were those of farmers and out of them only 156 were having at least one of their family member as graduate. Obtain all the ultimate class frequencies

If (AB) = 10, (αB) = 15, (Aβ) = 20 and (αβ) = 30 then A and B are associated

Compute coefficient of variation for factory A and B from the following:

Fit an exponential curve of the from Y = abX to the following data:

Investigate the association between darkness of eye-colour in father and son from the following data:

Fathers with dark eyes and sons with dark eyes: 50

Fathers with dark eyes and sons with not dark eyes: 79

Fathers with not dark eyes and sons with dark eyes: 89

Fathers with not dark eyes and sons with not dark eyes: 782

Also tabulate for comparison the frequencies that would have been observed had there been no heredity.

The mean and the standard deviation of a characteristic of 100 items were found to be 60 and 10 respectively. At the time of calculations, two items were wrongly taken as 5 and 45 instead of 30 and 20. Calculate the corrected mean and corrected standard deviation.