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)?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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 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)?

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9780547587776
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HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL