30. Poisson distribution, 2 = 10. Using the Cumulative Poisson Table, compute %3D a. P(X <3), b. P(3
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- 19. Find the maximum likelihood estimator for the parameter h of Poisson distribution.57. Discuss the applications of Poisson distribution.(i) What distribution can we assume for the number of customers coming into a DMV in Los Angeles, California, per unit time (e.g., per hour) and (ii) What distribution can we assume for the time taken to serve the customers at the Los Angeles, California DMV office? a. Normal for (i) and Uniform for (ii). b. Poisson for (i) & exponential for (ii). c. Poisson for (i) & exponential for (ii). d. Normal for (i) & exponential for (ii). e. Poisson for (i) and (ii)
- I want to ask how do we know when we need to use the continuity correction like the second image and when will we use the normal distribution like the 1st image? Thank youThe ground-up losses have an exponential distribution with mean 750,000. A deductible of 500,000 is applied to the product and the frequency distribution for the total number of losses, , is Poisson with mean 2. What is the percentage of policyholders be expected to have at least one claim paid to them?16. A sampling Distribution of sample mean (Central Limit Theoren) The diameters of fully grown white oak trees are normally distributed ,whit a mean of 3.5 feet and standard deviation 0.2 foot . Random sample of size 16 are drawn from this population ,and the mean of each sample is determinate. Find the mean and standar deviation of sampling distribution of sample mean.Then sketch a graph of the sampling distribution.
- X ~ N(60, 14). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums.Give the distribution of X. Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X < 60) =.Find the 30th percentile.a) Mean b) Binomial DistributionThe 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)
