R&B/hip-hop songs accounted for more than 60% of radio’s top 100 hits in 2004, according to data from Nielsen BDS and Arbitron as reported in USA Today on January 5, 2005. A new radio station, appropriately named Fickle, plays all types of music from the list of the top 100 hits including R&B/hip-hop, pop, rock, and country. In the next randomly selected group of 14 songs being played on Fickle and using the 60% for R&B/hip-hop songs:

a. What is the probability that more than seven songs are R&B/hip-hop songs?

b. What is the probability that exactly 10 songs are R&B/hip-hop songs?

c. What is the probability that fewer than five songs are R&B/hip-hop songs?