Find the joint density function for the pair
Consider two independent variables X and Y, where X is uniformly distributed on the interval [-1,1] and Y is exponentially distributed with mean 3. Find the joint density function for the pair (X, Y).
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It is estimated that 56% of the children between the ages of 3 and 5 years are already enrolled in school. In a sample of 350 children what is the probability that at least half are enrolled in school?
What is the smallest motor you would need for a heat pump absorbing heat from the container and rejecting heat to the room at 20 C?
The manufacturing of semiconductor chips produces 2% defective chips. Assume the chips are independent and that a lot contains 1000 chips.
Heat transfer by radiation, conduction, and convection with the ambient surroundings thus cycles the water temperature. Is such a cyclic process reversible or irreversible?
Consider a thin-walled aluminum tube of 2.600-in outside diameter, wall thickness of 0.004-in , length of 3.5-in, and yield strength of 37,700psi, determine the torque at which the tube will fail in torsional buckling.
The inlet water temperature to the condenser is at 20oC, 120 kPa and is leaving the condenser at 30oC, 120 kPa. Determine the required mass flow rate of the water, in kg/s, for this steady state steady flow process.
Determine the maximum stress at the base of the support (point A). The mass moment of inertia of the turbine system about the vertical y axis is 100 kg-m2.
Calculate the rate of heat loss per meter. Thermal conductivity of the pipe wall and Calsilite calcium silicate insulation blocks are 40 W/(m K) and 0.092 W/(m K) respectively.
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