Let A and B have the joint probability density function f (a,b) = 6(1-a - b) for a+b < 1, a>0, b>0 and it is zero elsewhere Find the marginal probability distribution of B
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- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.Let X be the amount of premium gasoline (in 1000 gallons) that a service station has in its tanks at the beginning of a day, and Y the amount that the service station sells during that day. If the joint density of X and Y is given byf (x, y) = 1/200, for 0 <y <x <20, use the distribution function techniques to find the probability density of the amount that the service station has left in its tanks at the end of the day