Step 1: Answer all six questions below and be sure to explain your reasoning.

Obedience School for Dogs is a small franchise that offers obedience classes for dogs. Some people think that larger dogs are easier to train and, therefore, should not be charged as much for the classes. To investigate this claim, dogs enrolled in the classes were classified as large (30pounds or more) or small (under30pounds). The dogs were also classified by whether or not they passed the obedience class offered by the franchise.45% of the dogs involved in the classes were large.60% of the dogs passed the class. Records indicate that40% of the dogs in the classes were small and passed the course.

1)Copy and Completethe following hypothetical 1000 two-way table:

Passed the CourseDid Not Pass the CourseTotalLarge DogsSmall DogsTotal

2) Estimate the probability that a dog selected at random from those enrolled in the classes passed the course.

3) A dog was randomly selected from the dogs that completed the class. If the selected dog was a large dog, what is the probability this dog passed the course?

4) A dog was randomly selected from the dogs that completed the class. If the selected dog is a small dog, what is the probability this dog passed the course?

5) Do you think dog size and whether or not a dog passes the course are related?

6) Do you think large dogs should get a discount. Explain your answer.