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Explain briey what the law of large numbers tells us about what will happen if the gambler makes a large number of bets on red. (c) The central limit theorem tells us the approximate distribution of the gamblers mean winnings in 50 bets. What is this distribution? Use the 689599.7 rule to give the range in which the mean winnings will fall 95% of the time. Multiply by 50 to get the middle 95% of the distribution of the gamblers winnings on nights when he places 50 bets. (d) What is the probability that the gambler will lose money if he makes 50 bets?
According to US Census Bureau, 7.1% of all births to non-smoking mothers are of low birth weight (
Suppose that you are purchasing cases of wine and that periodically you select a test case to determine the adequacy of the bottles' seals. To do this you randomly select and test 3 bottles int he case.
The owner of a mail-order catalog would like to compare her sales with the geographic distribution of the population. According to the United States Bureau of the Census
When the effect of a level for one factor depends on which level of the other factor is present, use: Select one:
Each patient also submits the blood sample and their glucose tolerance status is determined. Determine the sensitivity of screening test?
From a population of cereal boxes marked "12 ounces," a sample of 81 boxes is selected and the contents of each box is weighed. You want to test whether the population mean is different from 12 ounces.
A company that has 200 employees chooses a committee of 15 to represent . When the committee is formed, none of the 56 minority employees are selected. if the committee is chosen randomly. What is the probability that it contains no minorities.
the null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
Using a test, 80% of Down's Sydrome cases can be identified, while 5% of normals are detected as positive. What is the sensitivity and specificity of the test?
A company makes camshafts. The camshaft lengths need to be within a certain tolerance or they will not fit. They have produced x bar and s charts
Establish a 99% confidence interval for the difference in the proportion of suburban and urban housewives who own IPod.
Suppose X is a random variable with mean u and variance sigma2, Calculate the mean vector and variance matrix of the random vector Y = (X,2+3X)?
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