(Exponential Distribution) must be about Markov Chain. The time between supernova explosions in the known universe is exponentially distributed with an average of 1 month. According to Mr. Spock, the spaceship Atlantic's scientist, a supernova explosion may deform the structure of the Higgs Boson, and may cause the extinction of the entire universe, with a probability of 1 in 118 billion. Assuming that the age of the universe is about 16 billion years, calculate the probability that such an event will cause the universe to disappear in the next 10 billion years.

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(Exponential Distribution) must be about Markov Chain.

The time between supernova explosions in the known universe is exponentially distributed with an average of 1 month. According to Mr. Spock, the spaceship Atlantic's scientist, a supernova explosion may deform the structure of the Higgs Boson, and may cause the extinction of the entire universe, with a probability of 1 in 118 billion. Assuming that the age of the universe is about 16 billion years, calculate the probability that such an event will cause the universe to disappear in the next 10 billion years.

 

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