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A DMS source X = { xi }; i = 1, 2, 3 produces its alphabet with unequal probabilities: P(x1) = 0.45; P(x2) = 0.35; and P(x3) = 0.2. If the symbols are taken in blocks of 2 symbols in one block. Answer the following questions:
a. What is the total number of 2-symbol blocks that can be formed from the alphabet of X? List these blocks?b. Use your answer for question 1, above to work the probability of occurrence of each block in the blocks you formed in a.?c. What is the average information per symbol, H(X) without any blocks being formed?d. What is the average information per symbol, H(X) when the blocks are formed?
How many subjects must be tested to determine the effectiveness of the product?
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Suppose that the scores of architects on a particular creativity test are normally distributed.
SAT Scores and the Central Limit Theorem. Assume that SAT scores are normally distributed with a mean of 500 and a standard deviation of 100.
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Determine the probability that particular call lasted between 110 and 180 seconds?
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Using the p- value approach, test the hypotheses at the 5% level of significance.
Find the minimum sample size needed using a prior study that found that 36% of the respondents said they support abolishing the penny.
According to a recent study, 38% of all women will suffer a hip fracture because of osteoporosis by the age of 85. If six women aged 85 are randomly selected, what is the probability that a) None of them will suffer (or has suffered) a hip fractur..
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