= 3. Suppose that E and F are events in a sample space and Pr(E) = 2/3, Pr(F) = 3/4, and Pr(F|E) = 5/8. Find Pr(E|F) (a)

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3 Suppose That E And F Are Events In A Sample Space And Pr E 2 3 Pr F 3 4 And Pr F E 5 8 Find Pr E F A 1 (101.72 KiB) Viewed 76 times

= 3. Suppose that E and F are events in a sample space and Pr(E) = 2/3, Pr(F) = 3/4, and Pr(F|E) = 5/8. Find Pr(E|F) (a) Using Bayes' Theorem. (b) Using a Tree Diagram or the method of Natural Frequencies. 4. In the figure below, we have drawn a partial map of the streets in a certain city. A tourist wishes to walk from point A to point B. (a) What is the total number of routes (with no backtracking) from A to B? (b) Suppose you randomly choose one the routes from A to B. Define the event S="the route as short as possible”. Compute Pr(S). (C) Let E be the event that your route passes through C. Compute Pr(E|S). C D В E