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A certain communication system transmits text messages by representing each character with an -bit binary codeword. Suppose it is necessary for this communication system to operate in such a way that there are always an equal number of 0s and 1s transmitted. Toward that end, the communication system uses a codebook consisting only of those -bit words that have exactly (where is an even integer). For example, in the case of , there are exactly 6 four-bit codewords consisting of exactly two 1s and two 0s resulting in the codebook
Thus, with four bit code words, we could represent an alphabet of only six characters.
(a) Find an expression for the number of code words with half 1s and half 0s for an arbitrary even integer .
(b) What is the minimum length of code word we would need if the codebook needs to represent at least 100 different characters?
A stock has a 50% chance of producing a 20% return, a 25% chance of producing a 10% return, and a 25% chance of producing a -10% return. What is the stock's expected return
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Six months ago, you invested $350,000 to become a partner in a medical practice in which you have a 50% ownership interest. Today, your partner defaulted on the payments for a $2 million Open MRI system that is used by the partnership.
ABC hospital, a not for profit acute care facility, expects to have a patient load of 20,000 inpatient days next year and has the following cost structure for its inpatient services
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