Choose at random a direction which will keep you on dry, Basic Statistics

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Choose at random a direction which will keep you on dry

Suppose you are standing on the bank of a straight river.

(a) Choose, at random, a direction which will keep you on dry land, and walk 1 km in that direction. Let P denote your position. What is the expected distance from P to the river?

(b) Now suppose you proceed as in part (a), but when you get to P , you pick a random direction (from among all directions) and walk 1 km. What is the probability that you will reach the river before the second walk is completed?

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Basic Statistics: Choose at random a direction which will keep you on dry

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