A corporation takes delivery of some new machinery that must be installed and ch

Question

A corporation takes delivery of some new machinery that must be installed and checked before it becomes available to use. The corporation is sure that it will take no more than 10 days for this installation and check to take place. Let A be the event "it will be more than 3 days before the machinery becomes available" and B be the event t will be less than 8 days before the machinery becomes available.' Complete parts a through g below. a. Describe the event that is the complement of A. Choose the corect answer below. A. It will be less than 3 days before the machinery becomes available. O B. It will be no more than 3 days before the machinery becomes available OC. It will be 3 days before the machinery becomes available D. It will be less than 8 days before the machinery becomes available. b. Describe the event that is the intersection of events A and B. Choose the correct answer below OA It will be more than 3 days or less than 8 days before the O B. It will be more than 3 days and less than 8 days before the machinery becomes available C. It will be less than 3 days or more than 8 days before the machinery becomes available. D. It will be less than 3 days and more than 8 days before the machinery becomes available c. Describe the event that is the union of events A and B. Choose the correct answer below A. O B. It will be more than 3 days or less than 8 days before the machinery becomes available. It will be less than 3 days or more than 8 days before the machinery becomes available. C. It will be less than 3 days and more than 8 days before the machinery becomes available D. It will be more than 3 days and less than 8 days before the machinery becomes available

Explanation / Answer

a) A

Reason: Complement is the non-happening or oppsite of the said event. Hence, it will take less than 3 days is the complement to A(taking more than three days).

b) B

Intersection is the common area. Hence it will take more than three and less than eight days.

c) A

It will be more than three or less than eight days. Union uses the word OR.

d) C

Reason as stated in answer

e) C

Reason as stated in the answer. For days less than 3 and more than 8 there is no outcome variable assigned.

f) D

B U (A n A') = B U null set = B

g) A

(A U A') n (A U B)= Universal set intersection (A U B)= (A U B)

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