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# tut11 - that at least 40 seconds will elapse between any...

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COMP211 Data and System Modeling (PROB/STAT) Tutorial (Week 11) 1. Suppose that a sample of n = 1,600 tires of the same type are obtained at random from an ongoing production process in which 8% of all such tires produced are defective. What is the probability that in such a sample 150 or fewer tires will be defective 2. Suppose that at a certain automobile plant the average number of work stoppages per day due to equipment problems during the production process is 12.0. What is the approximate probability of having 15 or fewer work stoppages due to equipment problems on any given day 3. A sales firm receives on average three calls per minute on its toll-free number. If it can be assumed that the number of calls per minute has a Poisson distribution, calculate the probability

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Unformatted text preview: that at least 40 seconds will elapse between any two calls. 4. Let X be the random variable with meaning “time (mins) to get a call to a health-care provider”. This question is regarding exponential distribution. It is given that the mean time between calls is 12 mins. Please answer the questions. a. What is the probability of getting no calls within 30 mins (or unit times) ? b. What is the probability of getting at least one call within a 10 mins interval? c. What is the probability of getting the first call within 5 to 10 mins after opening? d. What is the length of interval such that the probability of getting at least one call is 0.90?...
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