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Formula Mean for grouped data I = i=1 N Median for grouped data median = L+ ( W ) f med Mode for grouped data mode = L + h fi - fo 2f1 - fo - f2 Variance 1=1 n-1 Skewness skewness = 1=1 (n- 1)s n! Binomial distribution P(x) = p*(1-p)" x x!(n - x)! Geometric p(x) = (1-p)upQuestion 3 (a) A box contains 4 blue, 2 red and 3 black balls. If a ball is drawn at random from the box, replaced and the process is repeated 2 more times, what is the probability of drawing 2 blue balls and 1 red ball? (b) A survey was taken of a group's viewing habits for entertainment show on TV during the last year. Let A: watch game show B: watch singing contest C: watch comedy show If a person is selected from this group of people, the probability is given as O (0) = 0.43, O(0) = 0.40, 0(0) = 0.32, P (0 n O) = 0.29, P (0 n D) = 0.22, P (0 n D)= 0.20, P(On On O) = 0.15. Find the probability that this person watched: (i) either A or B or both (11) At least one of this entertainment show (iii) None of the show