Question 28 Your answer is partially correct. Try again. Errors caused by contam

Question

Question 28 Your answer is partially correct. Try again. Errors caused by contamination on optical disks occur at a rate of one error every 114000 bits. Assume the errors follow a Poisson distribution. (a) What is the mean number of bits until five errors occur? (b) What is the standard deviation of the number of bits until five errors occur? (Round your answer to the nearest integer.) (c) The error-correcting code might be ineffective if there are three or more errors within 105 bits. What is the probability of this event? (Round your answer to 4 decimal places.) (a) 570000 bits 254912 bits 0.0803 Statistical T

Explanation / Answer

c) Average = 1 out of 114000 bits = (1/114000)*(100000) per 105 bits = (50/57) per 105 bits

Hence,

P(3 or more)

= 1 - P(X < 2)

= 1 - Poisson.dist(2, 50/57, TRUE) [Excel Formula]

= 0.0592

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