A communication system transmits bits over a channel such that the probability of being received in error is ρ = 0.02. Bits are transmitted in blocks of length 1023 bits and an error correction scheme is used such that bit errors can be corrected provided that no more than 30 errors occur in a 1023 bit block. Use the central limit theorem to approximate the probability that no more than 30 errors occur in a 1023 bit block.
Answer to relevant QuestionsA certain class of students takes a standardized test where each student’s score is modeled as a random variable with mean, μ = 85, and standard deviation, σ = 5. The school will be put on probationary status if the ...A company manufactures five- volt power supplies. However, since there are manufacturing tolerances, there are variations in the voltage design. The standard deviation in the design voltage is 5%. Using a 99% confidence ...A gambler plays a game of chance where he wins $ 1 with probability ρ and loses $ 1 with probability 1–p each time he plays. The number of games he plays in an hour, N, is a random variable with a geometric PMF, PN( n) = ...Show that if Xn ,n = 1, 2, 3, … is a sequence of IID Gaussian random variables, the sample mean and sample variance are statistically independent. Let s (t) be a periodic square wave as illustrated in the accompanying figure. Suppose a random process is created according to X (t) = s (t – T), where T is a random variable uniformly distributed over (0, 1). (a) Find ...
Post your question