For the following questions answer them individually
If first, second, and third moment about origin are 1, 6, and 15 respectively, then Karl Pearson beta coefficient of skewness $$\beta_{1}$$ is
The Pearson's correlation coefficient between following observation
is - 0.8. If each observation of X is halved and of Y is doubled, then Pearson's correlation coefficient equals to
From standard pack of 52 cards, 3 cards are drawn at random without replacement. The probability of drawing a king, a queen and a jack in order is
If the second and third moment about the origin are 8 and 18 and the third moment about mean is -14 , then the first moment about the origin is:
For the random variable X with probability density function $$f(x) = \frac{(x - 3)^{2}}{5}$$; x = 3, 4, 5, the variance of X is: