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At a certain college, 6% of all students come from outside the United States. Incoming students there are assigned at random to freshman dorms, where students live in residential clusters of $40$ freshmen sharing a common lounge area.

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. […]

Find x such that the matrix is equal to its own inverse.

[ M=left[ begin{matrix}7&x\-8&-7\end{matrix} right]] The aim of the article is to find the value of the variable $x$ within the given matrix for which it will be equal to its inverse matrix. Read moreDetermine if the columns of the matrix form a linearly independent set. Justify each answer.The basic concept behind this question is the […]

Determine the head of the vector whose tail is given. Make a sketch.

– Given vector [ left[begin{matrix}-2\5\end{matrix}right] ] Read moreDetermine if the columns of the matrix form a linearly independent set. Justify each answer.– Tail of the vector is $( -3, 2) $ [ left[begin{matrix}-3\2\end{matrix}right] ] In this question, we have to find the head of the vector when the vector and its tail are given. Read […]