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In a certain city, the daily consumption of electric power in millions of kilowatt-hours can be treated as a random variable having a gamma distribution with α = 3 and β = 2. If the power plant of this city has a daily capacity of 12 million kilowatt-hours, what is the probability that this power supply will be inadequate on any given day?
Calculate the total cost of interest for both mortgage options. How much does the buyer save in interest with the 20 year option ?
Find the expected value or average profit per customer and determine how much profit they should expect if 10 people purchase one of their European vacation packages.
If the P-value of a hypothesis test comparing two means was 0.25, what can you conclude? (Select all that apply):
Test hypothesis that annual incomes of corporate trainers in areas of more than 500,000 are considerably more than those in areas of less than 100,000. Make use of the 5% level of risk.
What is the response variable?
Why does the sample size play such an important role in reducing the standard error of the mean? What are the implications of increasing the sample size?
Given a binomial distribution with n=29 and p=0.83, would the normal distribution provide a reasonable approximation? Why or why not.
Students applying for admission to an MBA program must submit scores from the GMAT test, which includes a verbal and a quantitative component.
Three families, each with three members, are lined up at random for a picture. What is the probability that members of each family happen to be together (that is, not separated by someone from another family) in the picture?
The national average SAT score (for Verbal and Math) is 1028. If we assume a normal distribution with σ = 92, what is the 90th percentile score? What is the probability that a randomly selected score exceeds 1200?
A botanical researcher wishes to design a survey to estimate the number of birch trees in a study area. The study area has been divided into 1000 units or plots.
Given this information, and assuming the data are from a normally distributed population, construct and interpret the 95% confidence interval for the population mean amperage these fuses will withstand.
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