Probability A car battery has an average lifetime of 48 months with a standard deviation of 6 months. The battery lives are normally distributed. The probability that a given battery will last between 48 months and 60 months is 0. 0.0065 e -0.0139(t- 48)2 dt. 48 Use the integration capabilities of a graphing utility to approximate the integral. Interpret the resulting probability.
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- _(5)^(\\\\infty ) Consider the function.\\n f(x)=x^(2) \\nCalculate the average value of f on the interval 3,7 . Give an exact answer.\\nAverage value:\\nDetermine c such that the average value of the function is equal to f(c) . Give an exact answer with no radicals in the denominator.\\n c=Set up integralsThe lifetime of a machine part has a continuous distribution on the interval (0,45) months with probability density function f, where f(x) is proportional to (4+x)-2. Find the probability that the lifetime of the machine part is less than 7 months.
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