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If moment generating function of discrete random variable X is (q + pe^t )ⁿ , then E(X²) 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

With reference to analysis of variance. which of the following statements is/are correct?

(I) Change of origin will affect the value of F

With which characteristic movement of a time series would you associate increasing demand of smaller automobiles?

The mode of the given data set is 12. The sum of the frequency on both sides of mode are 16. The skewness:

Using the method of semi-averages, secular trend is measured when:

For a random variable x, the central moments (µi) of all order exist. The square of (2j + 1)^th   moment (µ²2j+1) is

The mean and median of the distribution are 10 and 11 respectively, then the mode equals to

Which of the following options is INCORRECT?