3 Homeowners who cultivate small backyard gardens are often worried about pests (for example, rabbits and groundhogs) ruining plants. Some gardeners protect their garden with a fence; others spread chemicals around the perimeter of the garden to keep animals away, and some nothing. The joint probability table below shows the relationship between these garden protection methods and success. Garden Defense Result Fence Chemicals Nothing Pests 0.05 0.08 0.34 No Pests 0.30 0.20 0.03 a. Suppose the garden had pests. What is the probability the gardener used nothing? b. Suppose the gardener use chemical. What is the probability that there were pests? c. Given the garden had no pests, which method of defense did the gardener most likely used?

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3 Homeowners who cultivate small backyard gardens are often worried about pests (for
example, rabbits and groundhogs) ruining plants. Some gardeners protect their garden with a
fence; others spread chemicals around the perimeter of the garden to keep animals away, and
some nothing. The joint probability table below shows the relationship between these garden
protection methods and success.
Garden Defense
Result V
Fence
Chemicals
Nothing
Pests
0.05
0.08
0.34
No Pests
0.30
0.20
0.03
a. Suppose the garden had pests. What is the probability the gardener used nothing?
b. Suppose the gardener use chemical. What is the probability that there were pests?
c. Given the garden had no pests, which method of defense did the gardener most likely used?
Transcribed Image Text:3 Homeowners who cultivate small backyard gardens are often worried about pests (for example, rabbits and groundhogs) ruining plants. Some gardeners protect their garden with a fence; others spread chemicals around the perimeter of the garden to keep animals away, and some nothing. The joint probability table below shows the relationship between these garden protection methods and success. Garden Defense Result V Fence Chemicals Nothing Pests 0.05 0.08 0.34 No Pests 0.30 0.20 0.03 a. Suppose the garden had pests. What is the probability the gardener used nothing? b. Suppose the gardener use chemical. What is the probability that there were pests? c. Given the garden had no pests, which method of defense did the gardener most likely used?
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