In her free time, Rachel moonlights as an airplane pilot for a low-budget airline. This airline is so low-budget that sometimes there are infestations of snakes on the airplanes. On any given flight, the probability of snakes being present is about 0.05. Rachel's reaction to the snakes' presence is either sick or tired, and of course she can be sick or tired sometimes even when there are no snakes around. Those are of course inclusive or's because Rachel can be sick and tired at the same time. In particular, when there are snakes on her plane, Rachel is sick with probability 0.9, and she is tired with probability 0.8. When there are no snakes on her plane, Rachel is sick with probability 0.01 and tired with probability 0.3.You may assume that the events when Rachel is sick and when Rachel is tired are conditionally independent, given whether or not there are snakes on her plane. If Rachel is both sick and tired, what then is the probability that there are snakes on her airplane?You should input any numerical answers in decimal form, rounded to the nearest thousandth. For example, if you find 0.0148 as an answer, you should enter "0.015".