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. " ' in Poisson distribution 1. If 'm' is the mean of a Poisson Distribution. then variance is given by 2. Poisson distribution is applied for 3. A researcher has found that the number of defective parts produced for a given process follows a Poiwon distribution with a mean of 5.8 detective parts per hour. Give the standard deviation for the number of defective parts for this process. Express your answer in 1 decimal place value 4. What is the expected value of the binomial distribution where n - 16 and p - 0.85? Express your answer in 2 decimal place value 5. On a test to obtain a securities license there are 20 questions with possible answers A. B. C. D. 8. E. Getting 70% (or 14 out of 20) correct is necessary to pass. A student is certain he knows 10 but must guess on the other 10. What is the probability of getting at least 4 correct by guessing on the 10? Express your answer in 4 decimal place value 6. If the random variable X follows a Poisson distribution with a mean 3. 4. nd P(X= 6}. Express your answer in 3 decimal place value 7. The number of industrial injuries per working week in a particular factory is known to follow a Poisson distribution with mean 0.5. Find the probability that in a particular week there will be more than 2 accidents. Express your answer in 4 decimal place value 3. A shop sells a particular make of video recorder. Assuming that the weekly demand for the video recorder is a Poisson variable with mean 3. find the probability that the shop sells at least 3 in a week. Stocks are replenished only at the beginning of each month. Express your answer in 4 decimal place value 9. A factory produces nails and packs them in boxes of 200. If the probability that a nail is substandard is 0.006. find the probability that a box selected at a random contains at most two nails which are substandard . Express you answer in 4 decimal place value 10. The hospital had 3000 deliveries each year. so if these happened randomly around the clock 1000 deliveries would be expected between the hours of midnight and 8.00 am. This is the time when many staff are off duty and it is important to ensure that there will be enough people to cope with the workload on any particular night. The average number of deliveries per night is 1000365. which is 2.74. From this average rate the probability of delivering 0 baby each night can be calculated using the Poisson distribution. Express your answer in 3 decimal place value