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Suppose bit errors in a digital data file occur independently with probability p = 0.25 ·...

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Statistics

Suppose bit errors in a digital data file occur independentlywith probability p = 0.25 · 10^−6 per bit.

X = number of bit errors in a 1 Mbyte data file (= 10^6 bytes)Calculate exactly or with suitable approximation

(a) X's standard and standard deviation;

b) the probability that at least three bit errors occur in thedata file.

c) Suppose that instead of an unknown parameter. A test file ofsize 3.85 Mbytes is checked where 10 bit errors are found. Enter anumerical point estimate of p and enter its Standard deviation d[ˆp].

Answer & Explanation Solved by verified expert
3.7 Ratings (560 Votes)
Let us Y be a Bernoulli random variable such thatHere we can denote them as followsP Yi 1 The probability of occurrence of bit errors in ithbit of a digital data fileP Yi 0 The probability of Nonoccurrenceof bit errors in ith bit of a digital data fileWhere P Yi 1 p 025 106And P Yi 0 1 p 1 025    See Answer
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