According to a study done by Pew Research Center, 210out of 500 adult Americans believe that marriage is nowobsolete.
a. Find the mean and standard deviation of the samplingdistribution of ?Ì‚; the sample proportion of adult Americans whobelieve marriage is obsolete.
b. In a random sample of 500 adult Americans, what isthe probability that less than 35% believe marriage isobsolete?
c. What is the probability that in a random sample of500 adult Americans between 40% and 50% believe marriage isobsolete?
d. Would it be unusual if a random sample of 500 adultAmericans resulted in 250 or more who believe marriage is obsolete?(remember that unusual is more than 2 standard deviations from themean)? Why or why not?