# 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 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."

a. Describe the event that is the complement of event A.

b. Describe the event that is the intersection of events A and B.

c. Describe the event that is the union of events A and B.

d. Are events A and B mutually exclusive?

e. Are events A and B collectively exhaustive?

f. Show that (A ∩ B) ( (A ∩ B) = B.

g. Show that A ( (A ∩ B) = A ( B.

a. Describe the event that is the complement of event A.

b. Describe the event that is the intersection of events A and B.

c. Describe the event that is the union of events A and B.

d. Are events A and B mutually exclusive?

e. Are events A and B collectively exhaustive?

f. Show that (A ∩ B) ( (A ∩ B) = B.

g. Show that A ( (A ∩ B) = A ( B.

## Answer to relevant Questions

A lawn-care service makes telephone solicitations, seeking customers for the coming season. A review of the records indicates that 15% of these solicitations produce new customers and that, of these new customers, 80% had ...Consider Example 3.4, with the following four basic outcomes for the Dow Jones Industrial Average over two consecutive days: O1: The Dow Jones average rises on both days. O2: The Dow Jones average rises on the first day but ...A corporation regularly takes deliveries of a particular sensitive part from three subcontractors. It found that the proportion of parts that are good or defective from the total received were as shown in the following ...The grades of a freshman college class, obtained after the first year of college, were analyzed. Seventy percent of the students in the top quarter of the college class had graduated in the upper 10% of their high school ...Given P(A1) = 0.60, P(B1|A1) = 0.60, and P(B1|A2) = 0.40, what is the probability of P(B1|A1)?Post your question

0