Statistics Solutions

(See Solution) Let D = days of the week M, T, W, R, F, E = Brian (B), Jim (J), Karen (K) be the employees of a tutoring center at a University and let U = Courses

Question: Let D = days of the week {M, T, W, R, F},

E = {Brian (B), Jim (J), Karen (K)} be the employees of a tutoring center at a University and let

U = {Courses the tutoring center needs tutors for}

= {Calculus I (I), Calculus II (II), Calculus III (III), Computers I (C 1 ), Computers II (C 2 ), Precalculus (P)}.

We define the relation R from D into E by d R e, if employee e is scheduled to work on day d. We also define S from E into U by e r u, if employee e is capable of tutoring students in course u.

If you are given M R =

\[\begin{aligned} & \text{ }\begin{matrix} \text{B} & \text{J} & \text{K} \\ \end{matrix} \\ & \begin{matrix} \text{M} \\ \text{T} \\ W \\ R \\ F \\ \end{matrix}\left[ \begin{aligned} & 1\text{ 0 1} \\ & \text{0 1 1} \\ & \text{1 0 1} \\ & \text{0 1 0} \\ & \text{1 1 0} \\ \end{aligned} \right] \\

\end{aligned}\] and M S =

\[\begin{aligned} & \text{ I II III }{{\text{C}}_{\text{1}}}\text{ }{{\text{C}}_{\text{2}}}\text{ P} \\ & \begin{matrix} \text{B} \\ \text{J} \\ \text{K} \\ \end{matrix}\left[ \begin{aligned} & \text{0 1 1 0 0 1} \\ & \text{1 1 0 1 0 1} \\ & \text{0 1 0 0 1 1} \\ \end{aligned} \right] \\

\end{aligned}\]
  1. Interpret the above matrices with respect to the above relations.

(b) Compute \({{\text{M}}_{\text{S}\circ \text{R}}}\), and use the matrix \({{\text{M}}_{\text{S}\circ \text{R}}}\) to determine which courses will have tutors available on which days.

(c) Multiply the above matrices using regular arithmetic. Can you interpret this result?

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


∴ Other downloads you may be interested in ∴

log in to your account

Forgot password?
Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in