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Vanessa, a research director, is conducting an experiment to determine the effec

ID: 3203292 • Letter: V

Question

Vanessa, a research director, is conducting an experiment to determine the effectiveness of treatment for peach trees against blight. She randomly divides one grove's trees into three groups. One group is the control with no treatment for blight. She runes the second group to remove the limbs showing blight after the spring rains. She prunes the third group as well and also sprays them with an antibiotic. Vanessa monitors the trees were monitored for five years after the start of the experiment. The following table shows the outcomes, or the counts of how long the trees in each group lived. Treatment Outcomes None Pruning Antibiotic Totals 0 to 2 years 40 35 27 102 2 to 4 years 28 44 42 114 More than 4 years 15 22 51 88 Totals 83 101 120 304 What is the probability that a randomly selected tree from this experiment lived two to four years or was treated with an antibiotic? Give your answer as a percentage, precise to one decimal place. Percentage

Explanation / Answer

Total treatment = 304

Total treatment for 2 to 4 years = 114

Antibiotic treatmnet for 2 to 4 years = 120 - 42 = 78

Required probability = 114 + 78/304

= 0.631

= 63.1%