Question: 34. Consider two exponentially distributed random variables X and Y, both having a mean of 0.50. Let Z= X + Y and r be

34. Consider two exponentially distributed random variables X and Y, both having a mean of 0.50. Let Z= X + Y and r be

34. Consider two exponentially distributed random variables X and Y, both having a mean of 0.50. Let Z= X + Y and r be the correlation coefficient between X and Y. If the variance of Z equals 0, then the value of r is (round off to 2 decimal places). 35. Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter D. We know that the velocity profile forms a paraboloid about the pipe centre line, given by: V=-Cr2 - D 4 m/s, where C is a constant. The rate of kinetic energy (in J/s) at the control surface A-B, as shown in the figure, is proportional to D. The value of n is 1 Velocity profile Not to scale A Control volume Diameter D B

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