Compete in marathon races
The fraction X of male runners and the fraction Y of female runners who compete in marathon races are stated by the joint density function f(x,y) = 8xy for 0 ? y ? x ? 1. Find the covariance of X and Y
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Using principle of conservation of mechanical energy, determine speed of 1.65-kg ball just before impact. Suppose that collision is elastic, determine velocities (magnitude and direction) of both balls just after collision.
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Each front tire on a hybrid is assumed to be filled to the pressure of 26 psi. Assume the actual air pressure in each tire is the random variable: X for the right tire and Y for left tire with the joint pdf. f(x,y) = k(x2 + y2) for 20 ? x ? 30 and
Civil engineers responsible for the design as well as maintenance of aircraft pavements traditionally use pavement-quality concrete. A study was conducted to access the suitability of concrete blocks as a surface for aircraft pavements.
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The breaking strength of the rivet has mean value of 10,000 psi and standard deviation of 600 psi. Determine the probability that the sample mean breaking strength for a random sample of 36 rivets is between 9,800 and 10,100?
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