Question

A binary communication channel transmits coded words of 5 bits, and each bit in the word is independent of the others. The probability an individual bit has an error is 0.03. You are interested in modeling the number of bits in each 5-bit word that has an error. Name the distribution appropriate to model this scenario. Use the proper notation, and include the value(s) of the distribution parameter(s). Enter you response in the textbox below What is the expected number of errors in each 5-bit word? What is the probability that there is at least 1 error in the 5-bit word? You are given two of these coded words, and these two 5-bit words are independent of each other. What is the probability that either the first or the second of the 5-bit words have at least 1 error, inclusive?

Answer 1

solution:- 1) xn Binomial distribution o n=5 p=0.03 j) = 0.15 Elx) = mp = 5x0.03 iii) P(+21) = 1- P1x=0) = 1- (5) 6.03,90-87) 5 0-1413 iv) Pl either of 5-bit woods have at least I error) = 1- Plnone of two words have error) = 1 - | - 11-0.03) x (1-0.03) 5 5 0.2626