Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1.2collisions every four months.Appendix A Statistical Tables(Round your answers to 4 decimal places.)a. What is the probability of having no collisions occur over a four-month period?b. What is the probability of having exactly two collisions in a two-month period?c. What is the probability of having one or fewer collisions in a six-month period?If this outcome occurred, what might you conclude about ship channel conditions during this period? The ship channel conditions are* during this period.What might you conclude about ship channel safety awareness during this period? The ship channel safety awareness are* during this period.What might you conclude about weather conditions during this period? The weather conditions areduring this period.What might you conclude about lambda? We can+ the lambda.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. Review the variance function for specific distributions. For Bernoulli, Poisson, Gamma, and Inverse Gaussian, what does the variance function say about our ability to predict the range of possible values? (This may be a little bit challenging; give it your best guess.)
# 3. Use Minitab to simulate 1000 rolls of five dice. Find the number of times that the sum of the five dice is exactly 20. Enter that value here. frequency approach to estimate the probability of getting a 20 when five dice are rolled. Enter the estimated probability here. Based on that result, use the relative Write a sentence or two explaining the difference (advantage or disadvantage) of the classical approach to probability compared to the relative frequency approach to probability. Refer to the results from #1, 2, 3 above in your explanation.
True or False? Assume the below life table was constructed from following individuals who were diagnosed with slow-progressing form of prostate cancer and decided not to receive treatment of any form. The calculated survival probability for year 3, if the Kaplan-Meir approach is used to calculate the survival probability, is approximately 0.85. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability0 20 11 20 3 2 17 1 3 16 2 1
Do question 2
The figure below represents the data from Table 3.6 in the book. It summarizes the lengths of hospital stays (days) for a sample 25 patients. Duration of hospitalization (days) 6. 1. 01-05 06-10 11-15 16-20 >20 What is the probability that someone stayed in the hospital at most 10 days? None of these choices are correct.
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
Historically it has been observed that patients admitted to a certain hospital for treatment of influenza spend a MEAN length of 4.4 days in the hospital. Every flu season, different strains of the flu circulate: Some years the primary strain causes more severe illness (and presumably longer than average hospital stays) and other years less so (meaning presumably shorter than average stays). We assume the hospital stays are NORMALLY distributed. a. A hospital wants to see how this year's flu season compares to previous years. Therefore, state the null and alternate hypotheses that would be used to test whether the hospital is seeing a mean hospital stay that is significantly DIFFERENT than the historical mean of 4.4 days. b. FIFTEEN patients admitted for influenza treatment are then randomly sampled and the length of their hospital stay in days is given below. 4641056443743774 SAMPLE MEAN =? SAMPLE STANDARD DEVIATION =? c. Using the results of part (b), determine what type of test is…

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