Define probability and prove the addition and multiplication theorems of probability.
What is the probability that both balls drawn will be of (i) black colour (ii) white colour, if two balls are drawn randomly one by one without replacement from a bag containing 5 white and 3 black balls?
Calculate the coefficient of association between literacy and criminality in the state, given the following data: male population = 331 lakhs, literate males = 66 lakhs, male criminals = 33 thousand, literate male criminals = 6 thousand.
Write the properties of a good measure of dispersion.
Explain the Chi-square test for independence of attributes.
Solve the equations of two regression lines obtained in a correlation analysis and calculate regression coefficients, correlation coefficient, and mean values.