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A computer communication channel transmits words of n bits using an error-correcting code which is capable of correcting errors in up to k bits. Here each bit is either a 0 or a 1. Assume each bit is transmitted correctly with probability p and incorrectly with probability q independently of all other bits.
a) Find a formula for the probability that a word is correctly transmitted.
b) Calculate the probability of correct transmission for n = 8, k = 2, and q = = 0.01.
Below are revenue and profit (both in $ billions) for nine large entertainment companies.
The owner has seen tomorrow's weather forecast, which predicts a high of 90F. About how many lines of bowling can she expect?
In problem, construct a 95% confidence interval for the difference between the average return to investors following a no recommendation and the average return.
A pair of dice is rolled. The sum of the faces on top is observed. What are the expectation, variance, and standard deviation of the observed sum? The Expectation and Variance Template attached to the main posting is optional and recommended.
The trial of the pyx. In 1150, it was recognized in England that coins should have a standard weight of precious metal as the basis for their value. A guinea, for example, was supposed to contain 128 grains of gold. (There are equivalent to the su..
Compare the real value of 1994 income with the income shown for 1997. Was the average household better or worse off in 1997 compared with 1994?
A local health center noted that in a sample of 400 patients 80 were referred to them by the local hospital. a) Provide a 95% confidence level for all the patients who are referred to the health center by the hospital.
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You are an Internal Revenue Service (IRS) agent who is performing an audit to determine if a foreign taxpayer is avoiding tax on earned income that is subject to U.S. tax. Suggest how you will approach the audit to ensure that the foreign taxpayer..
Do sit down restuarant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants different from the average stock price for fast food restaurants?
In studying the performance of the comapany's stock investments over the past year, the research manager of a mutual fund company finds that only 43% of the stocks returned more than the rate that had been expected at the beginning of the year.
Construct a 90% confidence interval for the overall proportion p of adults who say that movies are getting better.
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