A government agency has specialists who analyze the frequencies of letters of th

Question

A government agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted messages. In standard English text, a particular letter is used at a rate of 5.1%. a. Find the mean and standard deviation for the number of times this letter will be found on a typical page of 2900 characters. mu = sigma = (Round to one decimal place as needed.) b. In an intercepted message, a page of 2900 characters is found to have the letter occurring 181 times. Is this unusual? Yes, because 181 is greater than the maximum usual value. No, because 181 is within the range of usual values. Yes, because 181 is within the range of usual values. Yes, because 181 is below the minimum usual value.

Explanation / Answer

X~Bin(2900,0.051)

mean=2900*0.051=147.9

variance=2900*0.051*0.949=140.36

Standard Deviation= 11.85

A. yes,because 181 is greater than the maximum usual value

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