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Exercise 2: The lifetime of a battery follows a normal distribution with mean μ = 3...

Exercise 2:

The lifetime of a battery follows a normal distribution with mean μ = 3 years and σ = 0.5 years.

1. What is the probability that the battery lasts more than 2.3 years?
2. What is the probability that the lifetime of the battery is between 2 and 4.3years?
3. Find the value of x above which lies the 12% most lasting batteries.

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