Independent random variables
Suppose that X, Y, and Z are independent random variables each having a standard normal distribution. Determine P(3X+5Y<8Z-4).
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An airline sells 250 tickets for a certain flight that only has 245 seats. On average,about 2% of ticket purchasers do not show up for departure. Determine the probability that everyone who shows up for departure will actually have a seat.
One u.s. gallon is equivalent to 0.1337 ft^3 , 1 ft is equivalent to 0.3048 m and 1000mL are equivalent to m^3. By using the definition , determine the conversion factor between gallons and liters.
What is the relationship between management science and the systems approach?
What are the reaction forces and reaction moments? What is the normal stress (y) and shear stresses (xy, yz) at the point Q located at (0, 0, 50 mm)?
What is the angular frequency of the charge oscillations in the capacitor after the switch is closed?
How much kinetic energy Kair did the air molecules gain from the falling coffee filter? The temperature change of the coffee filter is negligible.
Find the rate of waste heat rejection (kJ/hr) and the number of hours the unit can operate steadily on one full tank of fuel.
A truncated cone 30 cm high is constructed with aluminum. The diameter at the top is 7.5 cm and the diameter at the bottom is 12.5 cm. The lower surface is maintained at 93°C; the upper surface at 540 °C.
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