A miner is trapped in a cave. There are now three paths to choose from. If he chooses the first path, he can escape after 10 minutes. If he chooses the second path, he will be back in the cave after 20 minutes. If he chooses the third path, he will go back to the cave after 40 minutes. It is known that the probability of this miner choosing the first path is 0.3, the probability of the second path is 0.5, and the probability of the third path is 0.2. Let X be the time it takes for miners to escape. What is E(x) and Var(x)?
A miner is trapped in a cave. There are now three paths to choose from. If he chooses the first path, he can escape after 10 minutes. If he chooses the second path, he will be back in the cave after 20 minutes. If he chooses the third path, he will go back to the cave after 40 minutes. It is known that the probability of this miner choosing the first path is 0.3, the probability of the second path is 0.5, and the probability of the third path is 0.2. Let X be the time it takes for miners to escape. What is E(x) and Var(x)?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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A miner is trapped in a cave. There are now three paths to choose from. If he chooses the first path, he can escape after 10 minutes. If he chooses the second path, he will be back in the cave after 20 minutes. If he chooses the third path, he will go back to the cave after 40 minutes. It is known that the
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