Question

Name: points) Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pres tire is a random variable, X for the right tire and Y for the left tire, with joint pdf 4. (23 sure in each xr(a,)386000 +) 20 30,20 s v 3 30 Otherwise. (a) What is the probability that both tires are underfilled? (b) Determine the (marginal) distribution of air pressure in the right tire alone. (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? (d) If the pressure in the right tire is found to be 22 psi, what is the expected pressure in the left tire?

Answer 1

20レ3130 26 ,2-6 2o 2o 38 000 0 20 2 3 26 30000 3 223 6 (26 e 3192 38 o000 0 3 0 24 30 no

: hm: 3600 (10 6333-3회) : 20"to Ol 1 30 x=23. !' '23.3у DS no 10 Χ00) + 6333,34

11173-3 2 2S-32