There are three types of contaminants that spoils water. Organic pollutants (O), volatile solvents (V), and chlorinated compounds (C). A new analytical method to detect (D) contaminants in water is being tested. The makers of the test claim that it can detect high levels of organic pollutants with 98% accuracy, volatile solvents with 99% accuracy, and chlorinated components with 89% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 65% of them are contaminated with organic pollutants, 20% with volatile solvents, and 15% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what is the probability that volatile solvents are present? (c) If the test does not signal, what is the probability that chlorinated compounds are

There are three types of contaminants that spoils water. Organic pollutants (O), volatile solvents (V), and chlorinated compounds (C). A new analytical method to detect (D) contaminants in water is being tested. The makers of the test claim that it can detect high levels of organic pollutants with 98% accuracy, volatile solvents with 99% accuracy, and chlorinated components with 89% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 65% of them are contaminated with organic pollutants, 20% with volatile solvents, and 15% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what is the probability that volatile solvents are present? (c) If the test does not signal, what is the probability that chlorinated compounds are

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Description: There are three types of contaminants thatspoils water. Organic pollutants (O), volatilesolvents (V), and chlorinated compounds(C). A new analytical method to detect (D)contaminants in water is being tested. Themakers of the test claim that it can d

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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ra se 00 1. A city contains 300,000 people (140,000 males and 160,000 females), and 3,000 people die per year from all causes of death (1,200 males and 1,800 females). There were 1500 cases of heart disease per year (100 males and 50 females), of which 135 died (102 males and 33 females). Compute the following. a. Crude mortality rate +35 150X100,000 = 81% b. Sex-specific mortality rate for males (all causes) 140,000 c. Sex-specific mortality rate for females (all causes) d. Cause-specific mortality rate for heart disease e. Case fatality rate for heart disease f. Proportionate mortality ratio for heart disease 220
A clinical trial is being conducted in order to determine the efficacy of a new drug that will be used to treat Crohn’s disease. The efficacy of the medication will not only be determined by the physical improvement of symptoms but will also be determined by using a blood test to examine the concentration C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 2.9 mg/dL and the standard deviation for C-reactive protein concentrations among Crohn’s disease patients was previously documented at 10.1 mg/dL, how many patients should be recruited for each group of individuals in the study, assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group?
I want to assess whether or not students produce more stress hormones (cortisol) after watching different types of movies. I collect saliva samples (to assess cortisol, stress) from students after they watch an action movie and then another (two days later) after they watch a horror movie. The amount of stress hormone in the saliva is measured as ng/mL.Test the hypothesis that saliva cortisol levels will be different between the two genres of movies at an alpha of 0.05. (Have action - horror be set for your differences). a. What is the null hypothesis? b. What is the alternative hypothesis? Data: Action Movie Horror Movie 10 12 -2 15 18 -3 16 17 -1 20 21 -1 24 22 2 24 23 1 26 27 1 13 16 -3 18 20 -2 19 23 -4 20 15 5 24 25 1
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Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Without additive "X" With additive "X" Water 1.1 1.1 1.3 1.4…
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There are three types of contaminants that spoils water. Organic pollutants (O), volatile solvents (V), and chlorinated compounds (C). A new analytical method to detect (D) contaminants in water is being tested. The makers of the test claim that it can detect high levels of organic pollutants with 98% accuracy, volatile solvents with 99% accuracy, and chlorinated components with 89% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what is the probability that volatile solvents are present? (c) If the test does not signal, what is the probability that chlorinated compounds are present? Note: Use the notations in the brackets to describe the events.
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Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Without additive "X" With additive "X" Water 1.1 1.1 1.3 1.4…
The Current (year 2020) population of the Earth is 7.5 billion people, and the yearly birthand death rates are β = 0.021 and δ = 0.009 respectively. Assuming the birth and deathrates remain constant, find the population of the Earth in the year 2120
Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with Infrared Spectroscopy".† x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651 y 334 342 355 363 365 372 381 392 400 412 420 Here is regression output from Minitab: Predictor Constant absorb S = 3.60498 Coef 321.878 156.711 SOURCE Regression Residual Error Total SE Coef 2.483 6.464 R-Sq = 98.5% DF 1 9 10 SS 7639.0 117.0 7756.0 T 129.64 24.24 0.000 0.000 R-Sq (adj) = 98.3% MS 7639.0 13.0 F P 587.81 (a) Does the simple linear regression model appear to be…
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