that bits are coun bit may be independently. nication system each data packet co
ID: 3322383 • Letter: T
Question
that bits are coun bit may be independently. nication system each data packet consists of 1000 bits. Note received corrupted with probability 0.1. It is assumed bit corruption occurs (a) Find the probability that there are more than 120 errors in a certain data packet table (integer-valued) and arriving one by one. Due to the noise normal approximation. Use the closest critic al value in the table. Do not using a interpolate. (b) If the t hird corrupted bit is detected within the first six received bits, then the system is flagged for maintenance. What is the probability FOUR DIGITS AFTER THE DECIMAL POINT.Explanation / Answer
p = 0.1
n = 1000
Mean = 0.1 * 1000 = 100
SD = sqrt( 100 * 0.9) = 9.49
a) z = (120 - 100)/9.49
z = 2.11
P(z > 2.11 ) = 0.0174
b) We have to find P(X = 3), supposing that when x = 3 immediately system will be flagged
P = 6C3 * 0.1^3 * 0.9^3
P = 0.015
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