Probability that both cylinders are defective
An eight-cylinder car has two cylinders that are defective and need to be replaced. If the mechanic randomly selects two cylinders in a row without replacement, to test for repair, what is the probability that both cylinders are defective?
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A spring-mass system is found to vibrate with a frequency of 120 cycles per minute in air and 100 cycles per minute in a liquid. Find the spring constant k, the damping constant c, and the damping ratio (zeta) when vibrating in the liquid. Assume
Nine coins are tossed. Let X be the number of coins that turn up heads. Find P(X = 4) and P(X = 6).
Super Cola sales breakdown is 80% regular soda and 20% diet soda. Of the regular soda, 60% are purchased by men. Of the diet sodas, 30% are purchased by men. If a woman purchases Super Cola, what is the probability that it is a regular soda?
What is the direction of the force that you exert on the coin during the toss, but before the coin leaves your hand?
Determine the pressure (kPa) at the start and end of adiabatic compression. Find the volume (m3) of at the start and end of isothermal heat rejection.
What is the velocity of the ball after it has moved downward a vertical distance of 0.30 m? (Assume that the +x direction is east, the +y direction is north, and the +z direction is upward.)
A smoking lounge is to accommodate 15 heavy smokers. The minimum fresh air requirement for smoking lounges is specified to be 30 L/s per person (ASHRAE, Standard 62, 1989).
The following table shows part of the probability distribution for a random variable x. The mean of the above distribution is known to be 1.8 (i.e., E(x) = 1.8). Determine f(1) and f(3).
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