As part of a study on income tax compliance (Behavioral Research and Accounting, January 2015), researchers found that 37% of adult workers prepare their own tax return. Assume that this percentage applies to all U.S. adult workers. Now consider a random sample of 270 adult workers.
a. Find the probability that more than 112 of the workers prepare their own tax return.
b. Find the probability that between 100 and 150 of the workers prepare their own tax return.