Answer to Question #126778 in Statistics and Probability for jaya

Question

b) 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 7
days for this installation and check to take place. Let A be the event “it will be more than 4
days before the machinery becomes available” and B be the event “it will be less than 6 days
before the machinery becomes available.”
I. Describe the event that is the complement of event A.
II. Describe the event that is the intersection of events A and B.
III. Describe the event that is the intersection of events A and the complement of B.
IV. Describe the event that is the union of events A and the complement of B.
V. Are events A and B mutually exclusive?

Answer 1

(i) The complement of event is "it will take 4 days or less before the machinery becomes available"

(ii) "It will be more than 4 but less than 6 days before the machinery becomes available"

(iii) "It will take 6 days or more before the machinery becomes available"

(iv) "It will be more than 4 days before the machinery becomes available"

(v) No. 5 days suit for both events.