Which chart to use? Respond with which chart$($s$)($X$-$bar, R$,$ s$,$ p$,$ c$,$ u$)$ could apply in each setting and offer a brief justification $(1$ sentence$).$

$($a$)(4$pts$)$ Hospital Infection Rates. A hospital tracks the rate of post$-$operative infections among patients to ensure quality and safety in surgical procedures. They collect data on the number of infections per $100$ surgeries conducted each month. Which control chart$($s$)$ should they use to monitor infection rates effectively?$/$Why$?$