In contract negotiations between a local government agency and its workers,
it is estimated that there is a 50% chance that an agreement will be reached
on the salaries of the workers. It is estimated that there is a 70% chance that
there will be an agreement on the insurance benefits. There is a 20% chance
that no agreement will be reached on either issue.
Part A: Find the probability that an agreement will be reached on both
issues.
Part B: Based on your answer from Part A, determine whether the
agreement on salaries and the agreement on insurance are independent
events. Justify your answer.

a. 0.4

b. Not independent.

Step-by-step explanation:

a. We use the probability table attached below for our calculations.

-the probability that an agreement is reached on both sides is obtained from the table:

b. To determine whether the two events are independent, we compare the probabilities and where i denotes insurance and s denotes salaries:

Two events are considered to be independent, if and only if:

Hence, the events are not independent.

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

step-by-step explanation: