In Phoenix, a Rideshare company believes that 50% of all rides originate at the Sky Harbor International Airport. The company decides to sample 30 rides during a particular day.
a. Test the conditions necessary to apply the central limit theorem. Are they satisfied? Why?

b. What is the standard error of the sampling distribution of sample proportions?
c. What is the probability that a sample proportion is greater than .75?
d. What is the probability that a sample proportion is less than .45?
e. What is the probability that a sample proportion is between .45 and .70?
f. What is the probability that the sampling error (p − π) would be .20 or more? That is, what is the probability that an estimate of a population proportion is less than .30 or more than .70?