STAT
Rec_probability_au10

• Notes
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g) Based on your answer to the previous question, do primate parents treat their children differently in terms of who carries who? Justify using probabilities and 10 words or less. h) Draw a tree for this primate toddler problem (write down all the probabilities in the tree and label them with probability symbols, such as P(A).) i) Make a two-way table for this primate toddler problem and fill in all its probabilities, including those in the margins.

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(*You can use the table and/or the tree to answer parts a-f for this problem, or to verify your calculations. *) 2. ( Show all your work to get credit, work means symbols – not just numbers !) Emma has collected information about the cats and dogs that children in her class have as pets. There are 30 pupils in her class. Here’s the summarized data, missing one cell: Select one child at random. Use these symbols to answer the questions: C = owns a cat; NC = doesn’t own a cat; D = owns a dog; ND = doesn’t own a dog. a) Suppose we know the child has a dog. What is the chance that he also has a cat? ANS___________ b) What is the probability that the child has a dog? Has a dog Does not have a dog Has a cat 8 4 Does not have a cat 12 6
ANS___________ c) What is the probability that the child has exactly one pet? ANS___________ d) What is the probability that the child has at least one pet? ANS___________ e) Is having a dog independent of having a cat? Check the appropriate probabilities and explain using 10 words or less.

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