Sophie is a dog that loves to play catch. Unfortunately, she isn’t very good, and the probability that she catches a ball is only 0.1. Let x be the number of tosses required until Sophie catches a...

Sophie is a dog that loves to play catch. Unfortunately, she isn’t very good, and the probability that she catches a ball is only 0.1. Let x be the number of tosses required until Sophie catches a ball.
a. Does x have a binomial or a geometric distribution?
b. What is the probability that it will take exactly two tosses for Sophie to catch a ball?
c. What is the probability that more than three tosses will be required?