According to the American Time Use Survey results released by the Bureau of Labor Statistics on June 24, 2015, on a typical day, 65% of American men age 15 and over spent some time doing household activities such as housework, cooking, lawn care, or financial and other household management. Assume that this percentage is true for the current population of all American men age 15 and over. A random sample of 600 American men age 15 and over is selected.

a. Find the probability that the sample proportion is 

i. Less than .68 

ii. Between .63 and .69

b. What is the probability that the sample proportion is within .025 of the population proportion?

c. What is the probability that the sample proportion is greater than the population proportion by .03 or more?