Q1. An exam has a pass rate of 0.67. The probability of passing for those that get a certain item correct is 0.7530. The overall correct rate for that item is 0.81. What is the probability of getting the item correct for those who passed? Q2. An exam has a pass rate of 0.55. The probability that someone who passed answered an item correctly is 0.9454. Those that failed answered the item correctly 0.5111 proportion of the time. What is the probability of passing given that a test taker got the item correct? Q3. The probability an item is answered correctly is 0.71. Those that pass answer the item correctly 0.9016 proportion of the time. Those that answer correctly pass 0.7746 proportion of the time. What is the pass rate of those who answer this item incorrectly?