Tanya is playing Pokemon Go, and searching for a Snorlax. The game is programmed such that pokemon are generated randomly, and there is a 5% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 312 random pokemon. Consider the proportion in her sample that will be Snorlax. As we have learned, the sample proportion is a random quantity. Required:
a. What type of random variable can we use to approximate the sample proportion?
b. What is the mean of the sample proportion?
c. What is the standard deviation of the sample proportion?
d. What is the approximate probability that more than 10% of her sample will be Snorlaxes?