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?
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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.
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