Suppose that certain bolts have length L = 200 + X mm,

Chapter 24, Problem 24.5

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Suppose that certain bolts have length L = 200 + X mm, where X is a random variable with density f(x) = ~(l - x 2 ) if - 1 ~ x ~ I and 0 otherwise. Determine c so that with a probability of 95% a bolt will have any length between 200 - c and 200 + c. Hint: See also Example 5.

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