Process capability
a. means that the natural variation of the process must be small enough to produce products that meet the standard.
b. is assured when the process is statistically in control.
c. exists only in theory; it cannot be measured.
d. exists when cpk is less than 1.0.

(A. ) process capability means that the natural variation of the process must be small enough to produce products that meet the standard.

Explanation:

Process capability can be explained as the repeatability and consistency of a production or manufacturing process relative to the customer needs in order to meet specification limits of a product.

This measure is used to objectively determine the level to which your manufacturing process is or is not meeting the requirements.

d. i assume the underlined word is "role." reformat if it isn't.

explanation:

role is closest to part because when replacing words, "playing a vital decision," "playing a vital activity," and "playing a vital dollar" don't make logical sense. the only meaningful choice is "playing a vital part."

this fits one of merriam-webster's definitions of role: "a function or part performed especially in a particular operation or process."

recent improvements in technology/telecommunication/internet have increased the pace of globalization.

explanation:

recent improvements in technology have enhanced the pace of globalization. it is not difficult to recognize that technology has created the human race one big issue. there are several aspects to technology but they all serve to meet us the further. i can beat and be friends with a fellow, thousands of miles away. technology has also bridged the knowledge gap and has presented for the ready transfer of ideas and values.