Independent random variables
Say a random variable X is drawn uniformly from between 0 and 1. Say that Y = sin(2piX). What is the covariance between X and Y? Are X and Y independent random variables?
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An airline has classified its customers as high-volume travelers (assumed to be business travelers) or low-volume travelers (assumed to be leisure travelers). Sixty-five (65) percent are high volume travelers. If five people are randomly selected
Determine the increase in internal energy of the system in the auditorium during the first 20 minutes after the ventilation system fails.
The weekly incomes of shift foreman for a given industry follow a normal probability distribution. With a mean of $1,000 and a standard deviation of $100, what is the area under the curve between $840 and $1200? In words, what do your results indi
Calculate the rms speed of a carbon dioxide molecule at 25°C.
Consider a 1g sample of radioactive Californium, Z=98 and A=245. The half life of this isotope is 45 min. On average, how many disintegrations per sec occur for this isotope?
The temperature stays constant at 290 K. For the air, determine the total amount of energy transfer by work and by heat, each in kJ. Assume ideal gas behavior.
You chose 3 marbles without replacement from a bag containing 9 red, 12 blue, 5 yellow marbles. X is the number of blue marbles chosen.
Pure Ag melts at 961.8 degC and boils at 2162 degC. The heat of fusion for Ag is 11.28kJ per mol and the heat of vaporization is250.6kJ per mol. Calculate the entropy change for Ag from 961.7 degC to 2162.1degC.
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