1) Your new dog Rascal loves to do tricks and you are deciding between two puppy competitions to enter him into. • The first competition is the "sit" test where the puppy is asked to sit 10 times. If the puppy sits 8 or more times when asked to do so, the puppy will win a medal. The second competition is the "shake" test where the puppy is asked to "shake" the evaluator's hand (by offering one of its paws). If the second time the hands with the evaluator occurs before the fourth time it is asked to do so, the puppy puppy shakes will win a medal. You know from training Rascal that he will sit when asked, 70% of the time, and will shak when asked 40% of the time. Assume that Rascal does tricks independently from one another. Which competition does Rascal have a better chance of winning? (Be súre to

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1) Your new dog Rascal loves to do tricks and you are deciding between two puppy
competitions to enter him into.
• The first competition is the "sit" test where the puppy is asked to sit 10 times. If the
puppy sits 8 or more times when asked to do so, the puppy will win a medal.
• The second competition is the "shake" test where the puppy is asked to "shake" the
evaluator's hand (by offering one of its paws). If the second time the puppy shakes
hands with the evaluator occurs before the fourth time it is asked to do so, the puppy
will win a medal.
You know from training Rascal that he will sit when asked, 70% of the time, and will shake
when asked 40% of the time. Assume that Rascal does tricks independently from one
another. Which competition does Rascal have a better chance of winning? (Be súre to
clearly denote which types of random variables you are using to model the facts of this
question and round any probabilities you compute to 4 decimals).
Transcribed Image Text:1) Your new dog Rascal loves to do tricks and you are deciding between two puppy competitions to enter him into. • The first competition is the "sit" test where the puppy is asked to sit 10 times. If the puppy sits 8 or more times when asked to do so, the puppy will win a medal. • The second competition is the "shake" test where the puppy is asked to "shake" the evaluator's hand (by offering one of its paws). If the second time the puppy shakes hands with the evaluator occurs before the fourth time it is asked to do so, the puppy will win a medal. You know from training Rascal that he will sit when asked, 70% of the time, and will shake when asked 40% of the time. Assume that Rascal does tricks independently from one another. Which competition does Rascal have a better chance of winning? (Be súre to clearly denote which types of random variables you are using to model the facts of this question and round any probabilities you compute to 4 decimals).
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