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1. A binomial random variable has mean 14 and variance 4.2. Find the probability that it is strictly larger than 10.
2. (Distribution of Sum). The demand for the daily newspaper in a vending stall is distributed as Bin.20; :75/ on weekdays and Bin.50; :75/ on the weekend. Assuming that all days are independent, what is the distribution of the weekly demand?
3. (Distribution of Difference). The demand for the daily newspaper on a Monday in a vending stall is distributed as Bin.20; :75/ and that on a Sunday as Bin.50; :75/. Find the probability that at least 20 more newspapers are sold on a Sunday than on a Monday at this stall.
4. * (Distribution of Difference). The number of earthquakes per year in Los Angeles of magnitude greater than 4 has a mean of .5 and that in Manila, Phillipines has a mean of 1. Find the pmf of the absolute difference between the number of earthquakes of magnitude greater than 4 in the two cities and approximately calculate the mean of the absolute difference.
Assume that a hypothesis test of the given claim will be conducted. The college Dean of Admissions claims that the times students require to earn a bachelors degree have a mean less than five years. Which equality/inequality (e.g., =, =
An electric power trading company has an option to buy 1,000,000 terawatts of electricity from a producer for $10 per terawatt. Other electric power trading companies have received this option and the company knows a decision must be made quickly.
Determine the probability that 5 or less questionnaires will be returned? Compute also probability that 7 or more questionnaires will be returned.
Calculate, test, and interpret the relationship between two variables using the correlation coefficient.
Are the companies equal from point of view of fat amount? Test at .02 significance level
The percentage of physicians who are women is 27.2%. In a survey of physicians employed by a large university health system, 48 of 120 randomly selected physicians were women. Compute the test value.
Describe the financial environment at Genesis. Describe how the company's strategy for financing as a startup may no longer be suitable as it seeks to expand its operations globally.
a distribution has a mean of 110 and a standard deviation of 20 if nothing is known about the shape of distribution
the functionfx k1-0.5x x gt 0is the distribution function for a discrete random variable x. here x denotes the
1. Show that the closure of a nowhere dense set is nowhere dense. 2. Let (S, d) and (V, e) be two metric spaces. On the Cartesian product S × V take the metric ρ((x, u), (y, v)) = d(x, y) + e(u, v).
Use the 5-step approach to hypothesis testing and the calculation of the 95% confidence intervals to answer the following research question: Did you observe a significant difference in Systolic Blood Pressure (SBP) over the course of the study?
Assume that a 95% confidence interval estimate of the new annual starting salary is desired. How large a sample should be taken if we do not want to exceed $500? What do you know?
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