Question: 3.72 There are over twenty thousand objects orbiting in space. For a given object, let A be the event that the charred remains do hit

3.72 There are over twenty thousand objects orbiting in space. For a given object, let A be the event that the charred remains do hit the earth. Suppose experts, using their knowledge of the size and composition of the object as well as its re-entry angle, determine that P(A) = 0.25. Next, let B be the event that your city is hit, given that charred remains reach the earth. The probability P(B | A) will depend on both the size of your city and its location relative to the current orbit of the object. Suppose that, the experts conclude that P(B | A) = 0.0002.

(a) Find the probability that your city is hit with charred remains.

(b) Change P(B | A) to 0.0004 and repeat the calculation.

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