Problem#2: An installation technician for a specialized communicationsystem is dispatched to a city only when three or more orders havebeen placed. Suppose orders follow a Poisson distribution with a meanof 0.25 per week for a city with a population of 100, 000 and supposeyour cityprobability that a technician is required after a one-week period? (b)If you are the first one in the city to place an order, what is theprobability that you have to wait more than two weeks from the timecontainspopulationof800,000.(a)Whatistheayou place your order until a technician is dispatched?

Answered: Image /qna-images/answer/0e5e3f78-c0ec-4b7d-8a37-184c43a4e2ac.jpg

Answered: Problem#2: An installation technician…

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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5. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meir approach and interpret the results. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. The probability of surviving 2 years after…
4. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85.B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study.C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment.D) The probability of surviving 1 year after being diagnosed with a slow-progressing form of…
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 34 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. State the null and alternate hypotheses. H0: p = 0 .7; H1: p < 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 H0: p = 0.7; H1: p > 0.7 What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5. The Student's…
6. For an insurance coverage, claim counts follow a binomial distribution with m = 4. q varies by insured with the following probabilities: 0.1 0.2 0.3 Probability 0.5 0.25 0.25 An insured submits 0 claims in the first year and 3 claims in the second year. Calculate the predictive probability of the same insured submitting 0 claims in the third year.
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
5. Based on recent records, the manager of a car painting centre has determined the following probability distribution for the number of customers per day: 1 3 4 P(X = x) 0.05 0.2 0.3 0.25 0.15 0.05 А. f the centre has the capacity to serve three customers per day, what is the probability that one or more customers will be turned away on a given day? В. What is the probability that the centre's capacity will not be fully utilized on a day? С. away is no more than 0.1? By how much the capacity must be increased so the probability of turning customer 2. il
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 24 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.7; H1: p > 0.7 H0: p ≠ 0.7; H1: p = 0.7 H0: p = 0 .7; H1: p < 0.7 H0: p < 0 .7; H1: p = 0.7 H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal,…
2.6
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 36 arrests last month, 22 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0 .7; H1: p = 0.7H0: p = 0 .7; H1: p < 0.7 H0: p = 0.7; H1: p > 0.7H0: p ≠ 0.7; H1: p = 0.7H0: p = 0.7; H1: p ≠ 0.7 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5…

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