Question H$5(6$ points$)$

A human factors engineer. Alanoud wasts to improve affordance of an exit door for safery by adding a slen on both

sides of the exit door. Two designs $($Arrow$-$icons, human$-$icons$)$ were proposed as shown below. Two designs were

experimentally compared with $20$ human subjects based on transmitted information. In the experiment. Engineer

Alanoud showed one of four signs randomly $($Amrow$-$icon for push or pull, Human$-$icon for push or pull$)$ for a secoed$.$

and the participant answered "Push" or "Pall" immediately. The tables below show the frequency data from the

experiment. Calculate the transmitted information of each design, und ehoose the better one between two design

alternatives based on the transmitted information. $($Yos should iachide the urit of transmilted information in woine

answer$).$

$\{$:$H(Y)=-{\displaystyle \underset{j=1}{\overset{}{}}}{p}_j)lo{g}_{2}p(y_j),H(Y|x)={\displaystyle \underset{m}{\overset{+p}{}}}(x_j)H(Y|x=x_j)$

$H(Y|x=x_j)=-{\displaystyle \underset{m}{\overset{?}{}}}p(y_j|x_j)lo{g}_{2}p(y_j|x_j),H(Y$:$x)=H(Y)-H(Y|x)$

$($Arrow$-$icon drsign and the data$)$

$($Human$-$icon design and the data$)$

Push $($left$)$ and Pull $($right$)$A human factors engineer, Afnan want to increase the reliability of a system $($Z$)$ composed of $5$ parts $($ A$,$B$,$C$,$D$,$E $.$ The system Z can be struetured in two different designs $($Design $1$ and Design $2).$ Both designs have no cost difference with using the same parts. Which system has a higher refiability?