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Complete following three exercises related to probability:
Q1) Probability of patient admitted to critical care unit with heart disease is 0.1 whereas probability for pulmonary disease is 0.05. If probability of having patient having both diseases is 1/500, determine the probability that next patient admitted will have either heart or pulmonary disease or both? Are events of admission of patients with heart diseases or pulmonary diseases independent of one another? Describe why?
Q2) Side effects from drug A are known to happen in 10% of all patients who take it. Nurse practitioner has 2 patients who are taking drug A. Determine the probability that both experience side effects from the drug?
Q3) Describe what do you mean by conditional probability. Give clinical example to support the explanation.
Conclude whether the given conditions justify using the methods of this section when testing a claim about a population mean µ.
Students are the University of New Harmony received 10, 000 course grades last semester. The table below breaks down these grades by which school of the university taught the course.
The average score on the stat midterm was 75 points with a standard deviation of 5 points, and Gregor's z-score was -2. How many points did he score.
Health and Nutrition Examination Survey, suppose that weights of men now are normally distributed with mean of m =172 pounds and standard deviation of s = 29 pounds.
Hypothesis test for one population mean - What is the alternative hypothesis and What is the null hypothesis?
Find the probability that he will answer all 10 questions correctly.
A small town has a population of 20,000 people. Among these 1,000 regularly visit a popular local bar. A sample of 100 people who visit the bar is surveyed for their annual expenditures in the bar.
Computing probability values using normal distribution - Find the proportion of the observations will fall in the interval from 40 to 60?
This model is fit to the data using the method of least squares using statistical software, and the following parameter estimates and their standard errors are obtained.
At the .01 significance level can we conclude the mean age is more than 8.4 years for the cars of university students? State the null hypothesis and the alternate hypothesis.
A sample of size 36 results in a sample mean of 7.1. The value of the test statistic is ____
Appalachian Coal mining believes it can enhance labor productivity and therefore net revenue by reducing air pollution in its mines. It estimates that the marginal cost function for reducing pollution by installing additional capital equipment is.
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