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 right tire and y for the left tire, wiht joint pdff(x, y) = {k(x2 + y2) 0 20 le x le 30 and 20 le1) what is the value of k? 2) what is the probability that both tires are underfilled? 3) what is the probability that the difference in air pressure between the two tires is at most 2 psi? 4) determine the marginal distribution of air pressure in the right tire alone.5) are x and y independent random variables? 6) determine the conditional pdf of y given that x=x and the conditional pdf of x given that y=y.7) 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)8) 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 deivation of pressure in this tire?

First, launch the video below. you will be asked to use your knowledge of physics to predict the outcome of an experiment. then, close the video window and answer the question at right. you can watch the video again at any point. part a as in the video, we apply a charge +q to the half-shell that carries the electroscope. this time, we also apply a charge –q to the other half-shell. when we bring the two halves together, we observe that the electroscope discharges, just as in the video. what does the electroscope needle do when you separate the two half-shells again? view available hint(s) as in the video, we apply a charge + to the half-shell that carries the electroscope. this time, we also apply a charge – to the other half-shell. when we bring the two halves together, we observe that the electroscope discharges, just as in the video. what does the electroscope needle do when you separate the two half-shells again? it deflects more than it did at the end of the video. it deflects the same amount as at end of the video. it does not deflect at all. it deflects less than it did at the end of the video. submit

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".

Atruck driver is attempting to deliver some furniture. first, he travels 8 km east, and then he turns around and travels 3 km west. finally, he turns again and travels 13 km to his destination. what is the drivers distance