4. Assume, you throw (shot) a basketball until you make the basket r times. Assume, your chance of making the basket is 20% and does not change during the game.

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Please only answer part C and D

4. Assume, you throw (shot) a basketball until you make the basket r times. Assume, your
chance of making the basket is 20% and does not change during the game.
a. Find the probability of missing 2 times before making the first basket.
b. What is the expected number of shots until you make the second basket?
c. What is the variance of number of shots until making the third basket?
d. Before you start the game, which one do you expect to happen sooner: 1. making 3
baskets; 2. missing 3 times. Prove your
answer using probability notation. Yes/No
answers will receive no credit.
Transcribed Image Text:4. Assume, you throw (shot) a basketball until you make the basket r times. Assume, your chance of making the basket is 20% and does not change during the game. a. Find the probability of missing 2 times before making the first basket. b. What is the expected number of shots until you make the second basket? c. What is the variance of number of shots until making the third basket? d. Before you start the game, which one do you expect to happen sooner: 1. making 3 baskets; 2. missing 3 times. Prove your answer using probability notation. Yes/No answers will receive no credit.
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