According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage is now obsolete.

(a) Find the standard deviation ofthe sampling distribution offor a random sample of 500 adult Americans. (Round your answer to four decimal places)

Note: Use part (a) to find (b)-(d) and enteryour answers rounded to four decimal places. (b) What is the probability that in a random sample of 500 adult Americans less than 38% believe that marriage is obsolete? (c) What is the probability that in a random sample of 500 adult Americans between 40% and 45% believe that marriage is obsolete? (d) Would it be unusual for a random sample of 500 adult Americans to result in 210 or more who believe marriage is obsolete? (yes, no)