. Take a stick of length one and denote it by the unit interval [0, 1]. Pick two i.i.d. Uniform(0, 1) random variables U and V a
nd mark them on the stick. Break the stick at those two marks so that you get three broken pieces of the stick. Choose one these three pieces uniformly at random. Let L be the length of the chosen piece. What is the expected value of L
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Answer:
a)
b)
Explanation:
From the exercise we got our <u>initial data</u>
a) To find <u><em>maximum height</em></u> we know that at that point
Solving for y
b) Since we know that the ball strikes the fairway 190 m away
Solving for t
Now, we can calculate the speed of the ball in both axes
The <em>negative</em> sign means the direction of the ball at that point.