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Spring 2013 ISE 2211 Statistics for Engineers Test Two Quizzes #6 - #11 Quiz #6 1. Suppose the arrival of cars at a toll booth follows a Poisson Process with an average of 1.8 cars per 10 seconds. What is the probability of no cars arriving in 10 seconds? Answer: 0.1653 2. Suppose the arrival of cars at a toll booth follows a Poisson Process with an average of 1.8 cars per 10 seconds. What is the probability of more than two cars arriving in 10 seconds? Answer: 0.2694 3. Suppose the arrival of cars at a toll booth follows a Poisson Process with an average of 1.8 cars per 10 seconds. What is the probability of no cars arriving in 20 seconds? Answer: 0.0273 Quiz #7 1. Suppose the mean time between failures for a CMOS battery is MTBF = 30,000 hours. Given a CMOS battery that was randomly selected. What is the probability that the battery will fail in less than 10,000 hours? Answer: 0.2835 2. Suppose the mean time between failures for a CMOS battery is MTBF = 30,000 hours. Given a CMOS battery that was randomly selected. What is the probability that the battery will operate for a least 40,000 hours? Answer: 0.2636 3. Suppose the mean time between failures for a CMOS battery is MTBF = 30,000 hours. Given a CMOS battery that was randomly selected. Determine the interval of time such that the probability the battery will not fail is 95%. Answer: 1539 hours Quiz #8 1. Given a Normal Distribution, calculate the probability (-1.17 < Z < +2.03) Answer: 0.8578 2. Given a Normal Distribution, find z, such that P(-1.24 < Z < z) = 0.8 Answer: +1.33 Quiz #9 1. Suppose the measured value for carbon composite resistors is normally distributed with Mean ? = 4700 Standard Deviation ? = 250 Given a sample size of 100 randomly selected resistors What is the probability that the sample average is between 4675 and 4725 ? Answer: 0.6828 Spring 2013 ISE 2211 Statistics for Engineers Test Two Quizzes #6 - #11 Quiz #10 1. A consumer product laboratory has been asked to determine the overall average number of calories per serving for a new dessert. The consumer testing laboratory reported the following results: Sample Size = 36 servings Sample Mean = 175 calories Sample Standard Deviation = 12 calories Estimate the overall average number of calories per serving for the new dessert product. Use a 95% confidence interval. Answer: mu = 175 +- 3.92 Quiz #11 1. Based on a sample of measured values, estimate the overall population mean (use a 95% confidence interval). Sample Size = 16 servings Sample Mean = 540 calories Sample Standard Deviation = 80 calories Answers: For n = 16, should use t value (2.13) Answer: mu = 540 +/- 42.6 For Z value (1.96) Answer: mu = 540 +/- 39.2