2.33A small river is found to be polluted due to the chemical waste from two major industries,A and B. Due to the strict standards enforced by the EPA, the probability of controlling thepollutions from A and B are 0.7 and 0.85, respectively, in the next two years. It is estimatedthat, if only one of the industries complies with the strict standards of EPA, there is a 75percent probability of controlling the pollution in the river to an acceptable level. (a) Findthe probability of controlling the pollution in the river in the next two years. (b) If the pol-lution in the river is not controlled in the next two years, what is the probability that it iscaused entirely by the industry A?

Given that,The probability of controlling pollution from A nad B are 0.7 and 0.85. If only one of…

Answered: 33 A small river is found to be…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. 2. 3. Your research is focused on residents at Shady Oaks Assisted Living Facility. You collect data from 50 randomly selected residents. The 50 residents you collected data from is your 4. O population. O statistic. O parameter. O sample. Suppose in a certain population 16% of mothers have admitted to smoking while pregnant. If a random sample of 15 mothers is selected from this population, what is the probability that 5 or fewer smoked while they were pregnant? Round to four decimal places. A Suppose total cholesterol values for a certain population are normally distributed with a mean of 195 mg/dl and a standard deviation of 10 mg/dl. What is the probability that a patient has total cholesterol greater than 200? Round your answer to 4 decimal places. Suppose total cholesterol values for a certain population are normally distributed with a mean of 200 mg/dl and a standard deviation of 20 mg/dl. You select a random sample of 100 people. What is the probability that the sample mean…
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…
1.1.3 If 60% of the population of the US need to have their vision corrected, we say that the probability that an individual chosen at random from the population needs vision correction is P(C)=.60. a. Estimate the probability that an individual chosen at random does not need vision correction. b. If 3 people are chosen at random from the population, what is the probability that all 3 need correction? c. If 3 people are chosen at random from the population, what is the probability that the second person does not need correction but the first and third do? d. If 3 people are chosen at random from the population, what is the probability that 1 out of 3 needs correction?
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…
In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decima
part 3 4 The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period, Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?
Chapter 07, Section 7.4, Problem 038c The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of $137 and a standard deviation of $30. Find the probability that the mean amount of electric bills for a random sample of 75-households selected from this city will be more than the population mean by at least $4. Round your answer to four decimal places. P (x greater than u by at least $4) = the tolerance is +/-2%
Part 1 of 6 Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of light bulbs that burn out in the next year in a room with 13 bulbs b. The hair color of adults in the United States c. The number of pigeons in a country d. The time it takes for a light bulb to burn out e. The number of free-throw attempts before the first shot is missed f. The number of people in a restaurant that has a capacity of 150 ..... a. Is the number of light bulbs that burn out in the next year in a room with 13 bulbs a discrete random variable, continuous random variable, or not a O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable.
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In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?

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