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If X1 and X2 are independent random variables, X1 has a chi-square distribution with 3 degrees of freedom, and X1 + X2 has a chi-square distribution with 7 degrees of freedom. Prove that X2 has a chi-square distribution with 4 degrees of freedom.
The distinction between sampling with replacement and sampling without replacement. Many surveys use the census as a sampling frame. Any bias in this frame?
if 30 claims are selected, find the probability that 15 will contain 0 errors, 8 will contain 1 error, 5 will contain two errors and 2 will contain 3 errors.
After computing a confidence interval, the investigator believes that the results are meaningless because the width of the interval is too large. In reconstructing the interval, the investigator should: decrease the sample size.
Decision making under risk is the same as decision making under uncertainty because in both the probabilities are unknown.
Decrease your sales price by $5 in order to increase sales by 5,000 units. Which of the above alternatives would your choose to increase profits?
Convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court.
To find the probability that exactly 25 of the computers will require repair, one would use what type of probability distribution?
The formula for the ratio is the mileage that 14 students drive to work out of 20 students. Compute the central tendency (mean, median, mode) and dispersion (range, variance, standard deviation).
Height X of adult women are normally distributed with mean 63.7 inches and standard deviation 2.71 iches. Romeo who is 68.25 inches tall wishes to date only women who are shorter than he but within 4 inches of his height. Find the probability ..
She asks 10 people how many Standard Deviations songs they know. Her data are:
You're considering an investment in the common stock of Crisp Cookware. The stock is expected to pay a dividend of $2 a share at the end of the year (D1 = $2.00). the stock has a beta equal to 0.9.
A marketing survey is taken among fast food customers to determine their preference for hot dogs or pizza. Of the 200 respondents selected,
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