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 +/- 17 feet with average (mean) braking distance of 100 feet, for his next generation deluxe model car. Bosch produces an anti-locking braking system, with braking distance average of 102.0 feet, and standard deviation of 4.15 feet. Bendix has a servo braking system, called brake booster; with braking distance average of 103 feet, standard deviation of 4.00 feet. kebono's system has an average of 99.0 feet, standard deviation of 3.2 feet.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Answer A through E
![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 +/- 17 feet with average
(mean) braking distance of 100 feet, for his next generation deluxe model car.
Bosch produces an anti-locking braking system, with braking distance average of 102.0 feet, and
standard deviation of 4.15 feet.
Bendix has a servo braking system, called brake booster; with braking distance average of 103 feet,
standard deviation of 4.00 feet.
Akebono's system has an average of 99.0 feet, standard deviation of 3.2 feet.
a. What is the design tolerance (difference from Upper to Lower Specification Limits), from Mark's
specifications.
[ Select ]
b. What is Cp of Bosch
[ Select ]
and Cpk of Bosch [
Select ]
C. Cp of Bendix [Select ]
and Cpk of Bendix [Select ]
[ Select
d. Cp of Akebono [Select ]
and Cpk of Akebono [ Select ]
e. Which braking system should Mark be selecting based on evaluating Cpk?
[ Select 1
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