A machine produces components that are 10% defective. A sample of these 50 components is chosen at random. Calculate the probabilities that: a) at most 6 components are defective.

b) has 3 or more defective components.

Renee hiked for 6 3 /4 miles. after resting, renee hiked back along the same route for 5 1 /4 miles. how many more miles does renee need to hike to return to the place where she started? represent your answer as a simplified mixed number, if necessary.