Contingency Table One day at the dog park, John counted 135 dogs, of which 47 were off leash playing. Of the 47, 10 were Retrievers. He saw a total of 35 Retrievers. Using this information complete the contingency table below. Then use it to find the probabilities. Reduce all fractions and use / for the fraction bar. Not on a Leash Leashed Total Retriever 10 Not a Retriever 37 Total 47 88 135 1. Are the events not on a leash and retriever independent?

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Contingency Table
One day at the dog park, John counted 135 dogs, of which 47 were off leash playing. Of the 47, 10 were Retrievers. He
saw a total of 35 Retrievers. Using this information complete the contingency table below. Then use it to find the
probabilities. Reduce all fractions and use / for the fraction bar.
Not on a Leash
Leashed
Total
Retriever
10
Not a Retriever
37
Total
47
88
135
1. Are the events not on a leash and retriever independent?
No :
2. What is the probability that a dog that is a Retriever is on a leash?
P(
3. What is the probability that a dog that is not on a leash is not a Retriever?
P(
4. What is the probability that a dog is not a Retriever and is on a leash?
P( R and L + )=
Transcribed Image Text:Contingency Table One day at the dog park, John counted 135 dogs, of which 47 were off leash playing. Of the 47, 10 were Retrievers. He saw a total of 35 Retrievers. Using this information complete the contingency table below. Then use it to find the probabilities. Reduce all fractions and use / for the fraction bar. Not on a Leash Leashed Total Retriever 10 Not a Retriever 37 Total 47 88 135 1. Are the events not on a leash and retriever independent? No : 2. What is the probability that a dog that is a Retriever is on a leash? P( 3. What is the probability that a dog that is not on a leash is not a Retriever? P( 4. What is the probability that a dog is not a Retriever and is on a leash? P( R and L + )=
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