The lifetimes of interactive computer chips produced by a certain semiconductor manufacturer are normally distributed with parameters μ = 1.4 × 106 hours and σ = 3 × 105 hours. What is the approximate probability that a batch of 100 chips will contain at least 20 whose lifetimes are less than 1.8 × 106?
Answer to relevant QuestionsEach item produced by a certain manufacturer is, independently, of acceptable quality with probability .95. Approximate the probability that at most 10 of the next 150 items produced are unacceptable. (a) A fire station is to be located along a road of length A, A < ∞. If fires occur at points uniformly chosen on (0, A), where should the station be located so as to minimize the expected distance from the fire? That is, ...Compute E[X] if X has a density function given by (a) (b) (c) If X has hazard rate function λX(t), compute the hazard rate function of aX where a is a positive constant. Find the probability density function of Y = eX when X is normally distributed with parameters μ and σ2. The random variable Y is said to have a lognormal distribution (since log Y has a normal distribution) with ...
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