The average number of defective CPUS in a shipment is 1.7. Assuming a Poisson distribution for defective 13. CPUS (PA(k) =e-^x*/k!), what is the most likely total number of such CPUS in 4 shipments? Answer enter number
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- A petrol pump station has 4 pumps. The service times follow the exponential distribution with a mean of 6 minutes and cars arrive for service in a Poisson process at the rate of 30 cars per hour. (i) What is the probability that an arrival would have to wait in line?(ii) Find the average waiting time, the average time a car spent in the system and the average number of cars in the system. (iii) For what percentage of time would a pump be idle an an average?Suppose the log-ins to a company's computer network follow a Poisson process with an average of three counts per minute. What is the mean time between counts? What is the standard deviation of the time between counts?44
- Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?A hot dog concession at Safeco Field sells an average of 54.67 hot dogs per hour (believed to follow a Poisson Distribution). How many hot dogs should the vendor stock in order to be 93% sure it has enough hot dogs for 1.5 hour(s)? F−1(0.93)=5. Suppose the time spent by a randomly selected student at a campus computer laboratory has a gamma distribution with mean 20 min and variance 80 min². (a) What are the values of a and B? (b) What is the probability that a student spends between 20 and 40 min at the laboratory? (c) Only 1% of students will spend more than how many minutes at the laboratory?
- The number of scratches on a final-product section follows a Poisson distribution with a mean of 3.4 scratches per millimeter. Determine the probability of exactly 4 scratches in 3 millimeters of a final-product section.The occurrence of traffic accidents at an intersection may be modeled as a Poisson process. Based on historical records the average rate of accidents is once every 6 years. Part 1 What is the probability that there will be no accidents at the intersection for a period of 3 years? (Answer correct to 3 decimal places.) number (rtol=0.001, atol=D0.001) Part 2 Suppose that in every accident at the intersection, there is a 5% probability of fatality. Based on the above Poisson model what is the probability of one traffic fatality at this intersection in a period of 3 years? (Answer correct to 3 decimal places.) Hint: Note that here you need to find the mean rate of fatalities per year, first. number (rtol=0.001, atol=D0.001)Question 15
- The Johnson & Johnson Company operates 6 identical machines that are serviced by a single technician when they breakdown. These breakdowns occur according to the Poisson distribution and average 0.03 breakdowns per machine operating hour. Average repair time for a machine is 5 hours and follows the exponential distribution. a) What percent of the technician's time is spent repairing machines? Answer in 4 decimal places. Blank 1 b) On average, how long is a machine out of service because of a breakdown? Answer in 2 decimal places. Blank 2 c) On average, how many machines are out of service? Answer in 1 decimal place. Blank 3 Blank 1 Blank 2 Blank 3 Add your answer Add your answer Add your answerThe number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean, = 7i. What is the mean number of arrivals daily if the facility operates for 8 hours perday? ii. Compute the probability that more than 10 customers will arrive in a 2-hour period.Course: StatisticsA study conducted on the number of vehicles arriving per hour at a toll booth established the following results: The mean number of vehicles arriving per hour is 39, the standard deviation is 6 vehicles per hour, the proportion of trucks with respect to the total number of vehicles passing through the toll booth is 12%, according to these data, which one or ones are necessary to establish a Poisson distribution to measure the estimated number "X" of vehicles per hour?I. The average of 39 vehicles per hour.II. The standard deviation of 6 vehicles per hour.III. The ratio of 12% trucks. Select one:a. Only Ib. Only II.c. Only III.d. I and II.e. I and III.
