Suppose that 1% of (binary) bits received by your smartphone have errors. What is the probability that the 28th bit received by

Question

2 years ago

10

your smartphone is the first erroneous bit

1 answer:

alexandr1967 [171] · Answer 1 · 2023-07-11T10:33:49+03:00

Probabilities are used to determine the chances of events

The probability that the first erroneous bit is the 28 bit is 0.0076

<h3>How to determine the probability</h3>

The given parameter is:

p =1% --- the probability that a bit has errors

The probability that the first erroneous bit is the 28 bit means that the first 27 bits do not have errors.

So, we have:

$Pr = (1 - p)^{27} * p$

The equation becomes

$Pr = (1 - 1\%)^{27} * 1\%$

Evaluate

$Pr = 0.0076$

Hence, the probability that the first erroneous bit is the 28 bit is 0.0076