A math/stat helproom at some university gathered the data on its clients during one month. 31.73% of their clients are majoring in Business, 35.58% of the helproom clients are majoring in Engineering, the rest are majoring in Science. 49.52% of the helproom clients received help with Math, the rest received help with Stat. 28.38% of the clients from Engineering received help with Stat. And 76.47% of clients from Science received help with Stat.
a- What is the probability that a randomly selected helproom client is majoring in Science and received help with Math?
b- What is the probability that a randomly selected helproom client received help with Statistics and is majoring in Business?
c- What is the probability that a randomly selected helproom client received help with Stat given that s/he is majoring in Business?
d- What is the probability that a randomly selected helproom client is majoring in Science given that s/he received help with Stat?