George is a big fan of music from the 1960s, and 78% of the songs on his iPod are Beatles songs. Suppose George sets his iPod to "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs). During a long drive, George plays 50 randomly selected songs. What is the standard deviation of the proportion of the 50 randomly-selected songs that are Beatles songs?

George is a big fan of music from the 1960s, and 66% of the songs on his iPod are Beatles songs. Suppose George sets his iPod to "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs). During a long drive, George plays 50 randomly selected songs. What is the mean of the proportion of the 50 randomly-selected songs that are Beatles songs?

George is a big fan of music from the 1960s, and 22% of the songs on his iPod are Beatles songs. Suppose George sets his iPod to "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs). During a long drive, George plays 50 randomly selected songs. Calculate the probability that more than 30% of the 50 randomly selected songs are Beatles songs.