Number of aces and the number of spades in the hand
A deck of 52 cards is shuffled and a bridge hand of 13 cards is dealt out. Let X and Y denote, respectively, the number of aces and the number of spades in the hand.
(a) Show that X and Y are uncorrelated.
(b) Are they independent?
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You are scheduled to receive annual payments of $5,100 for each of the next 7 years. The discount rate is 10 percent. What is the difference in the present value if you receive these payments at the beginning of each year rather than at the end of
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An 11,000-watt radio station transmits at 880 kHz. Calculate the energy of a single photon at the transmitted frequency.
An unstable particle called the pion has a mean lifetime of 25 ns in its own rest frame. A beam of pions travels through the laboratory at a speed of 0.575c. (a) What is the mean lifetime of the pions as measured in the laboratory frame?
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At an output level of 50,000 units, you calculate that the degree of operating leverage is 1.8. What will be the percentage change in operating cash flow if the new output level is 54,500 units?
You are the manager of a project that has a 2.8 degree of operating leverage and a required return of 14 percent. Due to the current state of the economy, you expect sales to decrease by 7 percent next year.
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Describe the advantages and disadvantages of 3 of the complementary and alternative medicine (CAM) modalities.
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