List of top Engineering Mathematics Questions on Statistics

If variance of \(X\) is \(4\), then the variance of \(Y=4X+2\) is

If the observed frequencies exactly match expected frequencies, then what is \(\chi^2\) (Chi-square) value?

Correlation coefficient is independent of

Given $$ x = 4y + 5, \quad y = Kx + 4, $$ the lines of regression of $ x $ on $ y $ and $ y $ on $ x $ respectively. What is the value of $ K $, if the value of correlation coefficient $ r = 0.5 $?

The rank correlation coefficient between the marks in two subjects of a class is 0.8. The sum of the squares of the differences between the ranks is 33. Then the number of students is: