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?
2026-03-28 10:54:52.1774695292
Check if it is a geometric random variable
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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. 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.