Question

In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assume that the probability that a bit is received in error is 0.0001. If 150,000 bits are transmitted, what is the probability that errors are between 10 and 18? How to compute P(X=10) = (150000C10)(0.0001)^10(1-0.0001)^(150000-10)

Name: in a digital communication channel assume that the number of bits received in error can be modeled by a binomial random variable and assume that the probability that a bit is received in err 74531
Uploaded: 2024-07-30T12:15:06-08:00
Duration: 2 min 59 s
Channel: Adi S
Description: in a digital communication channel assume that the number of bits received in error can be modeled by a binomial random variable and assume that the probability that a bit is received in err 74531

          In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assume that the probability that a bit is received in error is 0.0001. If 150,000 bits are transmitted, what is the probability that errors are between 10 and 18?
How to compute P(X=10) = (150000C10)(0.0001)^10(1-0.0001)^(150000-10)

Added by Laura L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

07/30/2024

Step 1

This can be represented by the binomial probability formula: P(X=k) = C(n, k) * p^k * (1-p)^(n-k) where n is the number of bits transmitted (150,000), k is the number of errors (between 10 and 18), p is the probability of a bit being received in error (0.0001), Show more…

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In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assume that the probability that a bit is received in error is 0.0001. If 150,000 bits are transmitted, what is the probability that errors are between 10 and 18? How to compute P(X=10) = (150000C10)(0.0001)^10(1-0.0001)^(150000-10)