According to one study that looked at the percent of left-handed people by state, 11.6% of people in Indiana are left-handed. You survey 15 Indiana residents at the state fair and ask whether they are left-handed. Call the random variable in this scenario X.
a) What is a "success" in this situation and what is probability of success on a single trial?
b) Explain in words what X is in terms of the story and what values it can take on.
c) What are the distribution and parameters of X?
d) What is the probability that exactly 2 will be left-handed?
e) What is the probability that at MOST 2 will be left-handed?
f) How many would you have to survey in order to be at least 95% sure that you find at least 1 who is left-handed?