How many international students would you expect to find in a typical cluster? With what standard deviation? This question aims to find the expected number of international students in a typical cluster along with their standard deviation. Take into consideration what a random variable is: a collection of numerical values resulting from a random process. […]

# Category Archives: Arithmetic Q&A

Find the smallest value of $n$ such that Taylor’s inequality guarantees that $|ln(x) − ln(1 − x)| < 0.01$ for all $x$ in the interval $ l = [dfrac {- 1}{2}, dfrac {1}{2} ] $ The aim of this question is to find the $n^{th}$ Taylor polynomial of the given expression. Furthermore, the smallest value […]

This problem aims to familiarize us with fractions and their ratio and proportion. Basically, this problem is related to fundamental calculus. Ratio and Proportion are described mainly founded on fractions. When a fraction is expressed in the form of a:b, it is called a ratio, whereas a proportion declares that two ratios are equivalent. Here, […]

[ text{Series} = dfrac{1}{3}+ dfrac{2}{9}+ dfrac{4}{27}+ dfrac{8}{21}+ dfrac{16}{243} ] This problem aims to familiarize us with the arrangement of object in series and sequences. The concepts required to solve this problem include geometric series and geometric sequences. The main difference between a series and a sequence is that there exists an arithmetic operation in sequence whereas […]

Given that the processor’s clock cycle time is 1 ns, calculate each program’s average CPI under this situation. Assume there are two processors being used to run the compiled programs. How much quicker is the clock on the processor executing compiler A’s code compared to the clock on the processor executing compiler B’s code if […]