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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?
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1. In using Newton's method to find a root of an equation f(x) = 0, with initial guess x0 = 3, we compute 1(x0) = 1, and find that x1 = 5. What is fl(x0)?
find any absolute or local maximum and minimum values of f(x)=8-2x if x≥6.
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