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Sagot :
The probability that at least one of them lives more than 87 minutes is 0.87.
Probability
In statistics, the possible way of happening a particular event is called probability.
Given,
Suppose that an experimenter studies the lifespan of members of a colony of bacteria. let t be the lifespan of a randomly chosen member of the colony. suppose the lifespan of the bacteria has an exponential distribution with expected value 100 minutes.
Here we need to find if we choose 5 members of the colony, then what is the probability that at least one of them lives more than 87 minutes.
Here we know that,
Total number of members = 5
Life span = 87 minutes
Expected value = 100 minutes
So, the probability is calculated as,
=> 87 /100
=> 0.87
To know more about Probability here.
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