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Unformatted text preview: c. What is the probability of one or more arrivals in a half-second interval? 1 4. (2 pts) Shims are manufactured to a nominal thickness of 5 mm. However, the stock from which they are cut is known to vary from this thickness, which from extensive measurements is modeled as a Gaussian random variable with m = 5 mm and σ = 0 . 05 mm. What is the probability that the thickness of a shim is less than 4.9 mm or more than 5.1 mm? 5. (2 pts) (Textbook exercise 3.42) The r th percentile, π ( r ), of a random variable X is deFned by P [ X ≤ π ( r )] = r/ 100. a. ±ind the 90%, 95% and 99% percentiles of the exponential random variable with pa-rameter λ . b. Repeat part a for the Gaussian random variable with parameters m = 0 and σ . 2...
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- Fall '08
- Normal Distribution, Probability theory, Cumulative distribution function