Help me unstuck. In Poisson Distribution
in Poisson distribution 1. If 'm' is the mean of a Poisson distribution, the standard deviation is given by 2. A chemical engineer is trying to electroplate copper onto a circuit board. The engineer has found that the probability that a plating will be successful follows a geometric distribution and has a mean of 12. Determine the standard deviation for this process. Express your answer in 2 decimal place value 3. A box contains the following geodes, 4 hemalites, 5 tiger eyes, and 3 smoky quartz. If 3 geodes are removed, what is the probability that exactly two will be smoky quartz? (Use the formula for the hypergeometric distribution.). Express our answer in 3 decimal place value 4. What is the standard deviation of a binomial distribution where n = 16 and p = 0.20? Express your answer in 1 decimal place value 5. When a graduate class was instructed to choose five of its members and interview them, all five selected were females. If the class contained 12 females and 5 males, what is the probability of randomly selecting five females? Express your answer in 4 decimal place value 6. 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 less than 2 accidents. Express your answer in 4 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 three week period there will be no accidents. Express your answer in 3 decimal place value 8. 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 most 7in a week. Stocks are replenished only at the beginning of each month. Express your answer in 4 decimal place value 9. 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 a.m. 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 1000/365, which is 2.74. From this average rate the probability of delivering 1 baby each night can be calculated using the Poisson distribution. Express your answer in 3 decimal place value. 10. A life insurance salesman sells on the average 3 life insurance policies per week. Use Poisson's law to calculate the probability that in a given week he will sell 2 or more policies but less than 5 policies. Express your answer in 5 decimal place value
