The joint pdf of pressures for right and left front tires is given in Exercise 9. a.

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The joint pdf of pressures for right and left front tires is given in Exercise 9.
a. Determine the conditional pdf of Y given that X = x and the conditional pdf of X given that Y = y.
b. If the pressure in the right tire is found to be 22 psi, what is the probability that the left tire has a pressure of at least 25 psi? Compare this to P(Y ≥ 25).
c. If the pressure in the right tire is found to be 22 psi, what is the expected pressure in the left tire, and what is the standard deviation of pressure in this tire?
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