For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X~ BIN (9,0.54). Assume you are about to play the game.

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For the remainder of this question, we will consider one of the world's most popular video games,
Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame
a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time
you tame the wolf, the wolf becomes.a dog and a new wolf appears which you can then attempt to
also tame. This continues until you have used up all 9 bones, and the goal is to end up with as
many dogs as possible at the end of the game. The probability of taming the wolf with each
attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that
X~ BIN (9,0.54). Assume you are about to play the game.
14. If you tame more than half of the dogs, you win. Otherwise, you lose. What is the probability
you will win the game?
Transcribed Image Text:For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes.a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X~ BIN (9,0.54). Assume you are about to play the game. 14. If you tame more than half of the dogs, you win. Otherwise, you lose. What is the probability you will win the game?
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