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In Exercise 5.2-1, let E be the event "even sum" and let F be the event "8 or more." We found the probability of the union of the events E and F. Why isn't it the case that P(E ∪ F) = P(E) + P(F)? What weights appear twice in the sum P(E) + P(F)? Find a formula for P(E ∪ F) in terms of the probabilities of E, F, and E ∩F. Apply this formula to Exercise 5.2-1. What is the value of expressing one probability in terms of three?
Exercise 1:
If you roll two dice, what is the probability of an even sum or a sum of 8 or more?
Given a position vector r(t) = Find the velocity and acceleration vectors and the speed at time t. Find the arc length of the curve given by r(t) = a cos (ωt) i + a sin(ωt)j. between t = 0 and t = π/3.
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Math 171: Abstract Algebra, Fall 2014- Assignment 4. Determine all positive integers n ≥ 2 for which the group (Z/2nZ)× is cyclic. Recall (Z/2nZ)× is the set {[a] | gcd (a, 2n) = 1}, with group operation ×
the volume is 420.the length is 14 the height is 6. what is the unknown measure?
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