5.84 Blood diamonds. According to Global Research News (Mar. 4, 2014), one-fourth of all rough diamonds produced in the world are blood diamonds, i.e., diamonds mined to finance war or an insurgency. In a random sample of 700 rough diamonds purchased by a diamond buyer, let x be the number that are blood diamonds. a. Find the mean of x. b. Find the standard deviation of x. c. Find the z-score for the value x = 200. d. Find the approximate probability that the number of the 700 rough diamonds that are blood diamonds is less than or equal to 200.