5. A botanist studied the effect of a new fertilizer by choosing 100 orchids and giving 70% of these plants the fertilizer. Of the plants that got the fertilizer, 40% produced flowers within a month. Of the plants that did not get the fertilizer, 10% produced flowers within a month. Find each probability to the nearest percent. (Hint: Construct a two-way table.) a. Find the probability that a plant received a fertilizer given that it produced a flower? b. Find the probability that a plant produced a flower given that it got the fertilizer ?

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