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
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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?
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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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