You Ask 2,500 Actors in the Screen Actors Guild (SAG)if

You ask 2,500 actors in the Screen Actors Guild (SAG)if they have ever appeared in a production of Shakespeare's King Lear.1,225 of them say "yes",while the others say "no".The value p is the proportion of the actors who have appeared in King Lear.You next draw a random sample of 11 actors from the SAG.What are the mean and standard deviation of the sample proportion? Round the mean to two decimal places and the standard deviation to four decimal places.