A digital transmitter sends groups of 8 bits over a communication channel sequentially. The probability of a single bit error in the channel is p.

a) How many different ways can two errors occur in 8 bits? (We will call each of these a 2-bit error)

b) Assume that a particular 2-bit error has occured: OxOOOxOO where x indicated an error bit and O the correct bit(0 or 1). What is the probability of this particular event?

c) Determine the probability of 2-bit errors in this system.

d) Plot the probability of 2-bit errors for p = 0.1, 0.01, 0.001, 0.0001.

45

step-by-step explanation:

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

c

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).