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i. If a variable has mean 3 and standard deviation 5, then find mean and variance of Y = 2 X + 5 ii. A moderately skewed distribution has mean 30 and mode 36. Find median. iii. Mean of a series is 10 and its coefficient of variation is 40%. What will the value of variance o the series? iv. Two series have XA = 15.0, X= = 20.0, $2 = 25,$. = 16, Which series is more consistent? v. What do you say about skewness of the distribution if Median is 49.21 while two quartiles are 37.15 and 61.27 respectively. vi. Given P(A) = 0.60, P(B) = 0.40, P(AnB) = 0.24, find P(A/B), P(AUB) b) Differentiate the following terms with real life examples. i. Scientific and random experiment ii. Dependent and independent events iii. Mutually and non-mutually exclusive events