The theoretical maximum speedup of a pipelined processor with 3 stages over a corresponding single-cycle design is 3 times. This is due to each stage working concurrently, improving efficiency.
In a pipelined processor with 3 stages, the theoretical maximum speedup over a single-cycle design is 3 times. This is because, in a pipelined design, each stage of the processor works concurrently on different instructions, allowing for more efficient execution of tasks. In contrast, a single-cycle design requires the completion of each instruction sequentially, taking more time for the same number of instructions. The speedup factor is determined by the number of pipeline stages (in this case, 3) as it allows up to 3 instructions to be processed simultaneously. However, this speedup is only achievable under ideal conditions, and factors like pipeline stalls and branch hazards may reduce the actual speedup.
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A statistics professor finds that when she schedules an office hour for student help, an average of 1.9 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 7.
To find the probability that in a randomly selected office hour the number of student arrivals is 7, we can use the Poisson distribution formula.
The Poisson distribution is used to model the probability of a certain number of events occurring within a fixed interval of time or space, given the average rate of occurrence.
In this case, the average number of student arrivals is 1.9.
The probability of exactly k events occurring in a Poisson distribution is given by the formula:
P(X=k) = (e^(-λ) * λ^k) / k!
Where λ is the average rate of occurrence.
Using this formula, we can calculate the probability of exactly 7 student arrivals in the given office hour:
P(X=7) = (e^(-1.9) * 1.9^7) / 7!
Calculating this expression will give us the desired probability.
Note: The value of e in the formula represents the base of the natural logarithm and is approximately equal to 2.71828.
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What is the correct assignment of the names of the following aromatic amines? 1-pyrrolidine; Il = pyrimidine;
The correct name for the aromatic amine "Il = pyrimidine" is simply "pyrimidine."
Pyrimidine is an aromatic heterocyclic compound, which consists of a six-membered ring with two nitrogen atoms at positions 1 and 3.
Pyrimidine is a six-membered heterocyclic ring structure composed of four carbon atoms and two nitrogen atoms.
The nitrogen atoms are located at positions 1 and 3 within the ring. The aromatic nature of pyrimidine arises from the presence of a conjugated π electron system, which contributes to its stability and unique chemical properties.
Pyrimidine is an essential building block in nucleic acids, where it pairs with purines (adenine and guanine) to form the genetic code in DNA and RNA. It plays a critical role in storing and transmitting genetic information and is involved in various biological processes.
To summarize, pyrimidine is an aromatic heterocyclic compound with a six-membered ring containing two nitrogen atoms. It is not an aromatic amine but rather an important component of nucleic acids.
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