Marbles without replacement from a bag
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.
A) Find and graph the probability distribution of X.
B) Find the mean of the random variable X
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Calculate the rms speed of a carbon dioxide molecule at 25°C.
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?
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.
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.
Determine the angular acceleration of the blade assembly, knowing that at the instant shown the angular velocity and angular acceleration of the motor housing are respectively w2= -2.5 rpm j and alpha=0.
In reacting aluminum carbonate with hydrochloric acid, 57.6 mgof carbon dioxide was formed. What is the mass of aluminum carbonate reacted to form this amount of carbon dioxide?Al2(CO3)3+ 6HCl ->2AlCl3+3H2O+3CO2
The standard enthalpies of formation for CO2 (g) and water(l) are -393.5 KJ/mol and -285.8 KJ/mol respectively. The enthalpyof combustion of CH4 (enthalpy of formation = -74.6 KJ/mol) is(KJ/mol)
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