In a town, the brand name of a certain jazz band has a 50% recognition rate. (In other words, a this town resident selected at random knows about the jazz band with a probability of 0.5.) An executive manager of the band wants to verify the recognition rate as the band is interested in giving concerts in the town. He/she selects a random sample of 10 residents.

b) Find the (perhaps, approximate) values of the mean and standard deviation of the number of citizens (out of a sample of 10 residents) who recognize the jazz band.