What is probability that receiver assigns correct value

Assignment Help Basic Statistics

Reference no: EM131009279

A message consists of a string of bits (0s and 1s). Due to noise in the communications channel, each bit has probability 0.3 of being reversed (i.e., a 1 will be changed to a 0 or a 0 to a 1). To improve the ac- curacy of the communication, each bit is sent five times, so, for example, 0 is sent as 00000. The re- ceiver assigns the value 0 if three or more of the bits are decoded as 0, and 1 if three or more of the bits are decoded as

1. Assume that errors occur independently.

a. A 0 is sent (as 00000). What is the probability that the receiver assigns the correct value of 0?

b. Assume that each bit is sent n times, where n is an odd number, and that the receiver assigns the value decoded in the majority of the bits. What is the minimum value of n necessary so that the probability that the correct value is assigned is at least 0.90?

Reference no: EM131009279

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