1. (5 points) A Car battery has a lifespan that is uniformly distributed over the interval [3,5] (the units are in years), with a warranty that it lives at least three and a half years. What is the probability that a battery from this brand will outlive the warranty?
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The lifespan is uniformly distributed over the interval $[3, 5]$. The probability density function is given by: $f(x) = \begin{cases} \frac{1}{5-3} = \frac{1}{2} & 3 \le x \le 5 \\ 0 & \text{otherwise} \end{cases}$ Show more…
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