Mark Weiner, an engineer specializes in braking systems is working with several braking system manufacturers: Bosch, Bendix, and Akebono. He is targeting a tolerance of $+/-9$ feet with average $($mean$)$ braking distance of $75$ feet, for his next generation deluxe model car.

Bosch produces an anti$-$locking braking system, with braking distance average of $78\mathrm{.}0$ feet, and standard deviation of $2\mathrm{.}15$ feet.

Bendix has a servo braking system, called brake booster; with braking distance average of $80$ feet, standard deviation of $1\mathrm{.}75$ feet.

Akebono's system has an average of $77\mathrm{.}0$ feet, standard deviation of $1\mathrm{.}95$ feet.

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a$.$ What is the design tolerance $($difference from Upper to Lower Specification Limits$),$ from Mark's specifications. $[$ Select $]["33\mathrm{.}00","15\mathrm{.}0","18\mathrm{.}0","12\mathrm{.}00","34\mathrm{.}00"]$

b$.$ What is Cp of Bosch $[$ Select $]["1\mathrm{.}247","1\mathrm{.}205","1\mathrm{.}339","1\mathrm{.}258","1\mathrm{.}395"]$ and Cpk of Bosch $[$ Select $]["1\mathrm{.}072","\mathrm{.}889","1\mathrm{.}205","\mathrm{.}930","1\mathrm{.}109"]$

c$.$ Cp of Bendix $[$ Select $]["1\mathrm{.}417","0\mathrm{.}968","1\mathrm{.}255","1\mathrm{.}714","2\mathrm{.}982"]$ and Cpk of Bendix $[$ Select $]["1\mathrm{.}981","1\mathrm{.}167","\mathrm{.}762","0\mathrm{.}987","1\mathrm{.}002"]$

d$.$ Cp of Akebono $[$ Select $]["1\mathrm{.}837","1\mathrm{.}538","1\mathrm{.}771","1\mathrm{.}460","1\mathrm{.}212"]$ and Cpk of Akebono $[$ Select $]["1\mathrm{.}382","1\mathrm{.}461","1\mathrm{.}068","1\mathrm{.}667","1\mathrm{.}197"]$

e$.$ Which braking system should Mark be selecting based on evaluating Cpk$?[$ Select $]["$Honda$",$ "Bendix", "Akebono", "Bosch", "Ford"$]$