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An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die. (a) Determine the event that the sum of the numbers falling uppermost is less than or equal to 7. (Select all that apply.) (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) (b) Determine the event that the number falling uppermost on one die is a 4 and the number falling uppermost on the other die is greater than 4. (Select all that apply.) (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
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The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is (root of 10) units. The coordinates of point C are (-6, 2) (5, 2) (6, -2) (10, 4) . The slope of is -3 -1/3 1/3 3 . The possible coordinates of point D are (4, 5) (5, 5) (6, 5) (8, 3) and (2, 1) (4, -1) (5, -1) (6, -1) . Please pick 1 answer for all the questions
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If x is a binomial random variable, compute p(x) for each of the following cases: P(x)=n!/ (x!(n−x)!) * p^x(1−p)^(n−x) is the formula you have to evaluate for each number set. n=5, x=1, p = 0.2 n=4, x=2, q = 0.4 n=3, x=0, p = 0.7 n=5, x=3, p = 0.1 n=4, x= 2, q = 0.6 n=3, x=1, q = 0.9
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Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1? 2.5, 6.25, 15.625, 39.0625, … 2.5, 5, 10, 20 –10, –7.5, –5, –2.5, … –10, –25, 62.5, 156.25
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