Discuss the below:
Consider the following two economic characteristics with two possible outcomes each: employment (increase, decrease) and economic trend (positive, negative). Let the probability of a decreasing employment be 0.6 and the probability of a positive economic trend 0.5. Further, assume that the probability of a decreasing employment given a negative economic trend is 0.7.
Q: Determine the probability of a positive economic trend given an increasing employment. Are employment and economic trend independent?