A system used to read electric meters automatically requires the use of a 64-bit computer message. Occasionally random interference causes a digit reversal resulting in a transmission error. assume that the probability of a digit reversal for each bit is 1/2000. Let X denote the number of transmission errors per 64-bit message sent. Is X geometric?

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2022-08-16

A system used to read electric meters automatically requires the use of a 64-bit computer message. Occasionally random interference causes a digit reversal resulting in a transmission error. assume that the probability of a digit reversal for each bit is 1/2000. Let X denote the number of transmission errors per 64-bit message sent. Is X geometric?

Answer & Explanation

Holly Crane

Holly Crane

Beginner2022-08-17Added 14 answers

Step 1
There is a finite upper bound on the number of bit reversals in a 64-bit message. If X is geometrically distributed, then Pr ( X > x ) > 0 no matter how big x is; there is no finite upper bound.
Step 2
Such a random variable is distributed as the number of trials needed to get one success, or as the number of failures before the first success.

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