Question

Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable X for the nght tire and Y for the left tire, with joint pdf as follows. otherwise (a) What is the value of K? (Give answer accurate to 2 decimal places.) 7.88 x 10-6 (b) What is the probability that both tires are underfilled? (Give answer accurate to 3 decimal places.) (c) 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? (Round your answer to three decimal places.) Compare this to P(Y 2 25). (Round your answer to three decimal places.) P(Y 25) = You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answer 1

2. a) 20 3 2

26 26 26 e 20 の 20 2o 20 20 013

(C) 7:22 32 95 4131 132 る/ 125 0. 046 32 32 LO S 32 3 2 3J12 20 20 -6 -0.638